106106054102631 has 256 divisors, whose sum is σ = 181497087313920. Its totient is φ = 60689721692160.

The previous prime is 106106054102621. The next prime is 106106054102639. The reversal of 106106054102631 is 136201450601601.

106106054102631 is a `hidden beast` number, since 1 + 0 + 6 + 1 + 0 + 6 + 0 + 5 + 4 + 10 + 2 + 631 = 666.

It is not a de Polignac number, because 106106054102631 - 2⁹ = 106106054102119 is a prime.

It is a super-2 number, since 2×106106054102631² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106106054102639) 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 255 ways as a sum of consecutive naturals, for example, 42836516365 + ... + 42836518841.

It is an arithmetic number, because the mean of its divisors is an integer number (708972997320).

Almost surely, 2^{106106054102631} is an apocalyptic number.

106106054102631 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

106106054102631 is a deficient number, since it is larger than the sum of its proper divisors (75391033211289).

106106054102631 is a wasteful number, since it uses less digits than its factorization.

106106054102631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3471 (or 3465 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 106106054102631 in words is "one hundred six trillion, one hundred six billion, fifty-four million, one hundred two thousand, six hundred thirty-one".