106665415920 has 160 divisors (see below), whose sum is σ = 419889315840. Its totient is φ = 24380663040.

The previous prime is 106665415903. The next prime is 106665415931. The reversal of 106665415920 is 29514566601.

It is a super-2 number, since 2×106665415920² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3512176 + ... + 3542415.

It is an arithmetic number, because the mean of its divisors is an integer number (2624308224).

Almost surely, 2^106665415920 is an apocalyptic number.

106665415920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106665415920 is an abundant number, since it is smaller than the sum of its proper divisors (313223899920).

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

106665415920 is a wasteful number, since it uses less digits than its factorization.

106665415920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7054620 (or 7054608 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 106665415920 in words is "one hundred six billion, six hundred sixty-five million, four hundred fifteen thousand, nine hundred twenty".