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106323872 = 253322621
BaseRepresentation
bin1100101011001…
…01111110100000
321102001210221012
412111211332200
5204204330442
614314520052
72430511064
oct625457640
9242053835
10106323872
1155020776
122b736028
1319049045
1410199aa4
159503582
hex6565fa0

106323872 has 12 divisors (see below), whose sum is σ = 209325186. Its totient is φ = 53161920.

The previous prime is 106323863. The next prime is 106323881. The reversal of 106323872 is 278323601.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (106323863) and next prime (106323881).

It can be written as a sum of positive squares in only one way, i.e., 104121616 + 2202256 = 10204^2 + 1484^2 .

It is a super-2 number, since 2×1063238722 = 22609531514144768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32), and also a Moran number because the ratio is a prime number: 3322621 = 106323872 / (1 + 0 + 6 + 3 + 2 + 3 + 8 + 7 + 2).

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1661279 + ... + 1661342.

Almost surely, 2106323872 is an apocalyptic number.

It is an amenable number.

106323872 is a deficient number, since it is larger than the sum of its proper divisors (103001314).

106323872 is an equidigital number, since it uses as much as digits as its factorization.

106323872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3322631 (or 3322623 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 106323872 is about 10311.3467597594. The cubic root of 106323872 is about 473.7438603781.

The spelling of 106323872 in words is "one hundred six million, three hundred twenty-three thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 16 32 3322621 6645242 13290484 26580968 53161936 106323872