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106831452 = 223713192271
BaseRepresentation
bin1100101111000…
…01111001011100
321110000121012110
412113201321130
5204322101302
614333434020
72435023650
oct627417134
9243017173
10106831452
1155338062
122b93b910
13191960a0
141028ca60
1595a3b6c
hex65e1e5c

106831452 has 144 divisors (see below), whose sum is σ = 324989952. Its totient is φ = 26593920.

The previous prime is 106831441. The next prime is 106831493. The reversal of 106831452 is 254138601.

It is a super-2 number, since 2×1068314522 = 22825918272856608, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 394077 + ... + 394347.

Almost surely, 2106831452 is an apocalyptic number.

106831452 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 106831452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162494976).

106831452 is an abundant number, since it is smaller than the sum of its proper divisors (218158500).

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

106831452 is a wasteful number, since it uses less digits than its factorization.

106831452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 106831452 is about 10335.9301468228. The cubic root of 106831452 is about 474.4965332156.

The spelling of 106831452 in words is "one hundred six million, eight hundred thirty-one thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 13 14 19 21 26 28 38 39 42 52 57 76 78 84 91 114 133 156 182 228 247 266 271 273 361 364 399 494 532 542 546 722 741 798 813 988 1083 1084 1092 1444 1482 1596 1626 1729 1897 2166 2527 2964 3252 3458 3523 3794 4332 4693 5054 5149 5187 5691 6916 7046 7581 7588 9386 10108 10298 10374 10569 11382 14079 14092 15162 15447 18772 20596 20748 21138 22764 24661 28158 30324 30894 32851 36043 42276 49322 56316 61788 65702 66937 72086 73983 97831 98553 98644 108129 131404 133874 144172 147966 195662 197106 200811 216258 267748 293493 295932 391324 394212 401622 432516 468559 586986 684817 803244 937118 1173972 1271803 1369634 1405677 1874236 2054451 2543606 2739268 2811354 3815409 4108902 5087212 5622708 7630818 8217804 8902621 15261636 17805242 26707863 35610484 53415726 106831452