106106665560 has 128 divisors (see below), whose sum is σ = 367194539520. Its totient is φ = 24026268672.

The previous prime is 106106665549. The next prime is 106106665583. The reversal of 106106665560 is 65566601601.

It is a super-2 number, since 2×106106665560² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 500389 + ... + 680148.

It is an arithmetic number, because the mean of its divisors is an integer number (2868707340).

Almost surely, 2^106106665560 is an apocalyptic number.

106106665560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106106665560 is an abundant number, since it is smaller than the sum of its proper divisors (261087873960).

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

106106665560 is a wasteful number, since it uses less digits than its factorization.

106106665560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1180665 (or 1180661 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 42.

The spelling of 106106665560 in words is "one hundred six billion, one hundred six million, six hundred sixty-five thousand, five hundred sixty".