106560510600 has 96 divisors (see below), whose sum is σ = 339265696320. Its totient is φ = 27648126720.

The previous prime is 106560510569. The next prime is 106560510601. The reversal of 106560510600 is 6015065601.

It is a super-2 number, since 2×106560510600² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (106560510601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2377812 + ... + 2422211.

It is an arithmetic number, because the mean of its divisors is an integer number (3534017670).

Almost surely, 2^106560510600 is an apocalyptic number.

106560510600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106560510600 is an abundant number, since it is smaller than the sum of its proper divisors (232705185720).

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

106560510600 is a wasteful number, since it uses less digits than its factorization.

106560510600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4800079 (or 4800070 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The spelling of 106560510600 in words is "one hundred six billion, five hundred sixty million, five hundred ten thousand, six hundred".