106046574337660 has 48 divisors (see below), whose sum is σ = 242967266196480. Its totient is φ = 38558548607040.

The previous prime is 106046574337577. The next prime is 106046574337679. The reversal of 106046574337660 is 66733475640601.

It is a super-2 number, since 2×106046574337660² (a number of 29 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (58) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 106046574337595 and 106046574337604.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 21799284 + ... + 26216443.

It is an arithmetic number, because the mean of its divisors is an integer number (5061818045760).

Almost surely, 2^{106046574337660} is an apocalyptic number.

106046574337660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106046574337660 is an abundant number, since it is smaller than the sum of its proper divisors (136920691858820).

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

106046574337660 is a wasteful number, since it uses less digits than its factorization.

106046574337660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48025786 (or 48025784 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 58.

The spelling of 106046574337660 in words is "one hundred six trillion, forty-six billion, five hundred seventy-four million, three hundred thirty-seven thousand, six hundred sixty".