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106255644 = 223111747351
BaseRepresentation
bin1100101010101…
…01010100011100
321101221100100020
412111111110130
5204200140034
614313232140
72430105135
oct625252434
9241840306
10106255644
1154a84490
122b702650
1319023c81
141017cc8c
1594dd249
hex655551c

106255644 has 48 divisors (see below), whose sum is σ = 286384896. Its totient is φ = 30304000.

The previous prime is 106255621. The next prime is 106255663. The reversal of 106255644 is 446552601.

It is a super-2 number, since 2×1062556442 = 22580523763709472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21432 + ... + 25919.

It is an arithmetic number, because the mean of its divisors is an integer number (5966352).

Almost surely, 2106255644 is an apocalyptic number.

It is an amenable number.

106255644 is an abundant number, since it is smaller than the sum of its proper divisors (180129252).

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

106255644 is a wasteful number, since it uses less digits than its factorization.

106255644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47386 (or 47384 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 106255644 is about 10308.0378346221. The cubic root of 106255644 is about 473.6425049259.

The spelling of 106255644 in words is "one hundred six million, two hundred fifty-five thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 102 132 187 204 374 561 748 1122 2244 47351 94702 142053 189404 284106 520861 568212 804967 1041722 1562583 1609934 2083444 2414901 3125166 3219868 4829802 6250332 8854637 9659604 17709274 26563911 35418548 53127822 106255644