101606135820 has 96 divisors (see below), whose sum is σ = 325315200000. Its totient is φ = 23211719424.

The previous prime is 101606135801. The next prime is 101606135849. The reversal of 101606135820 is 28531606101.

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, 724806 + ... + 853554.

It is an arithmetic number, because the mean of its divisors is an integer number (3388700000).

Almost surely, 2^101606135820 is an apocalyptic number.

101606135820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101606135820 is an abundant number, since it is smaller than the sum of its proper divisors (223709064180).

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

101606135820 is a wasteful number, since it uses less digits than its factorization.

101606135820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130647 (or 130645 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The spelling of 101606135820 in words is "one hundred one billion, six hundred six million, one hundred thirty-five thousand, eight hundred twenty".