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106307160 = 2335885893
BaseRepresentation
bin1100101011000…
…01111001011000
321102000222000020
412111201321120
5204203312120
614314310440
72430411261
oct625417130
9242028006
10106307160
115500a163
122b728420
131904155b
1410193968
1594ed640
hex6561e58

106307160 has 32 divisors (see below), whose sum is σ = 318921840. Its totient is φ = 28348544.

The previous prime is 106307141. The next prime is 106307161. The reversal of 106307160 is 61703601.

It is a super-2 number, since 2×1063071602 = 22602424534531200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 106307160.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106307161) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 442827 + ... + 443066.

Almost surely, 2106307160 is an apocalyptic number.

106307160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106307160 is an abundant number, since it is smaller than the sum of its proper divisors (212614680).

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

106307160 is a wasteful number, since it uses less digits than its factorization.

106307160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 885907 (or 885903 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 106307160 is about 10310.5363585024. The cubic root of 106307160 is about 473.7190380370.

The spelling of 106307160 in words is "one hundred six million, three hundred seven thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 885893 1771786 2657679 3543572 4429465 5315358 7087144 8858930 10630716 13288395 17717860 21261432 26576790 35435720 53153580 106307160