106315918000 has 40 divisors (see below), whose sum is σ = 257071894560. Its totient is φ = 42526366400.

The previous prime is 106315917997. The next prime is 106315918021. The reversal of 106315918000 is 819513601.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×106315918000² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26576980 + ... + 26580979.

It is an arithmetic number, because the mean of its divisors is an integer number (6426797364).

Almost surely, 2^106315918000 is an apocalyptic number.

106315918000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106315918000 is an abundant number, since it is smaller than the sum of its proper divisors (150755976560).

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

106315918000 is an equidigital number, since it uses as much as digits as its factorization.

106315918000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53157982 (or 53157966 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 34.

The spelling of 106315918000 in words is "one hundred six billion, three hundred fifteen million, nine hundred eighteen thousand".