106051110006960 has 120 divisors (see below), whose sum is σ = 356195987964960. Its totient is φ = 28277039609856.

The previous prime is 106051110006949. The next prime is 106051110007001. The reversal of 106051110006960 is 69600011150601.

106051110006960 is a `hidden beast` number, since 10 + 6 + 0 + 511 + 10 + 0 + 0 + 69 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×106051110006960² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2219764 + ... + 14731923.

It is an arithmetic number, because the mean of its divisors is an integer number (2968299899708).

Almost surely, 2^{106051110006960} is an apocalyptic number.

106051110006960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106051110006960 is an abundant number, since it is smaller than the sum of its proper divisors (250144877958000).

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

106051110006960 is a wasteful number, since it uses less digits than its factorization.

106051110006960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16960395 (or 16960386 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 36.

The spelling of 106051110006960 in words is "one hundred six trillion, fifty-one billion, one hundred ten million, six thousand, nine hundred sixty".