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106725680 = 2451334071
BaseRepresentation
bin1100101110010…
…00000100110000
321102211020002222
412113020010300
5204310210210
614331300212
72434103405
oct627100460
9242736088
10106725680
1155275646
122b8aa668
1319159bb9
14102622ac
159582655
hex65c8130

106725680 has 20 divisors (see below), whose sum is σ = 248137392. Its totient is φ = 42690240.

The previous prime is 106725659. The next prime is 106725701. The reversal of 106725680 is 86527601.

It is an interprime number because it is at equal distance from previous prime (106725659) and next prime (106725701).

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×1067256802 = 22780741542924800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106725680.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 666956 + ... + 667115.

Almost surely, 2106725680 is an apocalyptic number.

106725680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106725680 is an abundant number, since it is smaller than the sum of its proper divisors (141411712).

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

106725680 is a wasteful number, since it uses less digits than its factorization.

106725680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1334084 (or 1334078 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 35.

The square root of 106725680 is about 10330.8121655560. The cubic root of 106725680 is about 474.3398845288.

The spelling of 106725680 in words is "one hundred six million, seven hundred twenty-five thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1334071 2668142 5336284 6670355 10672568 13340710 21345136 26681420 53362840 106725680