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106143624 = 23321474217
BaseRepresentation
bin1100101001110…
…01111110001000
321101201122200100
412110321332020
5204133043444
614311005400
72426130426
oct624717610
9241648610
10106143624
1154a08304
122b669860
1318cb4ca2
1410150116
1594b9e69
hex6539f88

106143624 has 24 divisors (see below), whose sum is σ = 287472510. Its totient is φ = 35381184.

The previous prime is 106143619. The next prime is 106143641. The reversal of 106143624 is 426341601.

106143624 is a `hidden beast` number, since 10 + 614 + 36 + 2 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 76003524 + 30140100 = 8718^2 + 5490^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×1061436242 = 22532937831706752, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 737037 + ... + 737180.

Almost surely, 2106143624 is an apocalyptic number.

It is an amenable number.

106143624 is an abundant number, since it is smaller than the sum of its proper divisors (181328886).

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

106143624 is a wasteful number, since it uses less digits than its factorization.

106143624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1474229 (or 1474222 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 106143624 is about 10302.6027779392. The cubic root of 106143624 is about 473.4760005484.

The spelling of 106143624 in words is "one hundred six million, one hundred forty-three thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1474217 2948434 4422651 5896868 8845302 11793736 13267953 17690604 26535906 35381208 53071812 106143624