106105611005610 has 64 divisors (see below), whose sum is σ = 255303843992064. Its totient is φ = 28222596057600.

The previous prime is 106105611005593. The next prime is 106105611005629. The reversal of 106105611005610 is 16500116501601.

It is a super-2 number, since 2×106105611005610² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54605340 + ... + 56515080.

It is an arithmetic number, because the mean of its divisors is an integer number (3989122562376).

Almost surely, 2^{106105611005610} is an apocalyptic number.

106105611005610 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106105611005610 is an abundant number, since it is smaller than the sum of its proper divisors (149198232986454).

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

106105611005610 is a wasteful number, since it uses less digits than its factorization.

106105611005610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1914479.

The product of its (nonzero) digits is 5400, while the sum is 33.

The spelling of 106105611005610 in words is "one hundred six trillion, one hundred five billion, six hundred eleven million, five thousand, six hundred ten".