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106675452 = 2232131032213
BaseRepresentation
bin1100101101110…
…11110011111100
321102201200012200
412112323303330
5204302103302
614330231500
72433504102
oct626736374
9242650180
10106675452
1155240934
122b885590
1319140090
141024bc72
15957281c
hex65bbcfc

106675452 has 72 divisors (see below), whose sum is σ = 293346144. Its totient is φ = 32489856.

The previous prime is 106675423. The next prime is 106675511. The reversal of 106675452 is 254576601.

It is a happy number.

106675452 is a `hidden beast` number, since 106 + 6 + 7 + 545 + 2 = 666.

It is a super-2 number, since 2×1066754522 = 22759304118808608, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47098 + ... + 49310.

It is an arithmetic number, because the mean of its divisors is an integer number (4074252).

Almost surely, 2106675452 is an apocalyptic number.

106675452 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 106675452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146673072).

106675452 is an abundant number, since it is smaller than the sum of its proper divisors (186670692).

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

106675452 is a wasteful number, since it uses less digits than its factorization.

106675452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2339 (or 2334 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 106675452 is about 10328.3808992504. The cubic root of 106675452 is about 474.2654604468.

The spelling of 106675452 in words is "one hundred six million, six hundred seventy-five thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 103 117 156 206 234 309 412 468 618 927 1236 1339 1854 2213 2678 3708 4017 4426 5356 6639 8034 8852 12051 13278 16068 19917 24102 26556 28769 39834 48204 57538 79668 86307 115076 172614 227939 258921 345228 455878 517842 683817 911756 1035684 1367634 2051451 2735268 2963207 4102902 5926414 8205804 8889621 11852828 17779242 26668863 35558484 53337726 106675452