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106469352 = 2332114101
BaseRepresentation
bin1100101100010…
…01011111101000
321102100012111100
412112021133220
5204224004402
614322001400
72431655163
oct626113750
9242305440
10106469352
1155110000
122b7a6260
131909a322
14101d6ada
15953171c
hex65897e8

106469352 has 120 divisors (see below), whose sum is σ = 320328450. Its totient is φ = 31944000.

The previous prime is 106469309. The next prime is 106469357. The reversal of 106469352 is 253964601.

It is a happy number.

106469352 is a `hidden beast` number, since 1 + 0 + 646 + 9 + 3 + 5 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 63776196 + 42693156 = 7986^2 + 6534^2 .

It is a super-2 number, since 2×1064693522 = 22671445830599808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 11.

It is a zygodrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (106469357) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1054102 + ... + 1054202.

Almost surely, 2106469352 is an apocalyptic number.

106469352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106469352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160164225).

106469352 is an abundant number, since it is smaller than the sum of its proper divisors (213859098).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106469352 is a wasteful number, since it uses less digits than its factorization.

106469352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 106469352 is about 10318.3987129787. The cubic root of 106469352 is about 473.9598320926.

The spelling of 106469352 in words is "one hundred six million, four hundred sixty-nine thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 101 121 132 198 202 242 264 303 363 396 404 484 606 726 792 808 909 968 1089 1111 1212 1331 1452 1818 2178 2222 2424 2662 2904 3333 3636 3993 4356 4444 5324 6666 7272 7986 8712 8888 9999 10648 11979 12221 13332 14641 15972 19998 23958 24442 26664 29282 31944 36663 39996 43923 47916 48884 58564 73326 79992 87846 95832 97768 109989 117128 131769 134431 146652 175692 219978 263538 268862 293304 351384 403293 439956 527076 537724 806586 879912 1054152 1075448 1209879 1478741 1613172 2419758 2957482 3226344 4436223 4839516 5914964 8872446 9679032 11829928 13308669 17744892 26617338 35489784 53234676 106469352