106105111762664 has 48 divisors (see below), whose sum is σ = 243608674982400. Its totient is φ = 43080270938208.

The previous prime is 106105111762613. The next prime is 106105111762703. The reversal of 106105111762664 is 466267111501601.

It is a super-2 number, since 2×106105111762664² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7123053224 + ... + 7123068119.

It is an arithmetic number, because the mean of its divisors is an integer number (5075180728800).

Almost surely, 2^{106105111762664} is an apocalyptic number.

106105111762664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

106105111762664 is an abundant number, since it is smaller than the sum of its proper divisors (137503563219736).

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

106105111762664 is a wasteful number, since it uses less digits than its factorization.

106105111762664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14246121382 (or 14246121371 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 47.

The spelling of 106105111762664 in words is "one hundred six trillion, one hundred five billion, one hundred eleven million, seven hundred sixty-two thousand, six hundred sixty-four".