106610651631 has 64 divisors (see below), whose sum is σ = 177073482240. Its totient is φ = 62824792320.

The previous prime is 106610651603. The next prime is 106610651659. The reversal of 106610651631 is 136156016601.

106610651631 is a `hidden beast` number, since 1 + 0 + 6 + 6 + 10 + 6 + 5 + 1 + 631 = 666.

It is an interprime number because it is at equal distance from previous prime (106610651603) and next prime (106610651659).

It is not a de Polignac number, because 106610651631 - 2¹⁰ = 106610650607 is a prime.

It is a super-2 number, since 2×106610651631² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106610651731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27173836 + ... + 27177758.

It is an arithmetic number, because the mean of its divisors is an integer number (2766773160).

Almost surely, 2^106610651631 is an apocalyptic number.

106610651631 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

106610651631 is a deficient number, since it is larger than the sum of its proper divisors (70462830609).

106610651631 is a wasteful number, since it uses less digits than its factorization.

106610651631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6453 (or 6447 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 106610651631 in words is "one hundred six billion, six hundred ten million, six hundred fifty-one thousand, six hundred thirty-one".