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106116637 = 113611307
BaseRepresentation
bin1100101001100…
…11011000011101
321101200021122211
412110303120131
5204131213022
614310240421
72425655644
oct624633035
9241607584
10106116637
115499a000
122b656111
1318ca5913
141014435b
1594b1e77
hex653361d

106116637 has 16 divisors (see below), whose sum is σ = 118724544. Its totient is φ = 94815600.

The previous prime is 106116607. The next prime is 106116683. The reversal of 106116637 is 736611601.

It is a de Polignac number, because none of the positive numbers 2k-106116637 is a prime.

It is a super-2 number, since 2×1061166372 = 22521481296379538, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106116599 and 106116608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106116607) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80538 + ... + 81844.

It is an arithmetic number, because the mean of its divisors is an integer number (7420284).

Almost surely, 2106116637 is an apocalyptic number.

It is an amenable number.

106116637 is a deficient number, since it is larger than the sum of its proper divisors (12607907).

106116637 is an equidigital number, since it uses as much as digits as its factorization.

106116637 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1401 (or 1379 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 31.

The square root of 106116637 is about 10301.2929770976. The cubic root of 106116637 is about 473.4358700805.

The spelling of 106116637 in words is "one hundred six million, one hundred sixteen thousand, six hundred thirty-seven".

Divisors: 1 11 61 121 671 1307 1331 7381 14377 79727 81191 158147 876997 1739617 9646967 106116637