101606254875 has 256 divisors, whose sum is σ = 207028224000. Its totient is φ = 48977136000.

The previous prime is 101606254843. The next prime is 101606254879. The reversal of 101606254875 is 578452606101.

101606254875 is a `hidden beast` number, since 1 + 0 + 16 + 0 + 625 + 4 + 8 + 7 + 5 = 666.

It is not a de Polignac number, because 101606254875 - 2⁵ = 101606254843 is a prime.

It is a super-2 number, since 2×101606254875² (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 self number, because there is not a number n which added to its sum of digits gives 101606254875.

It is not an unprimeable number, because it can be changed into a prime (101606254879) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 157041802 + ... + 157042448.

It is an arithmetic number, because the mean of its divisors is an integer number (808704000).

Almost surely, 2^101606254875 is an apocalyptic number.

101606254875 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

101606254875 is an abundant number, since it is smaller than the sum of its proper divisors (105421969125).

101606254875 is a wasteful number, since it uses less digits than its factorization.

101606254875 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 800 (or 784 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 101606254875 in words is "one hundred one billion, six hundred six million, two hundred fifty-four thousand, eight hundred seventy-five".