106715133825 has 48 divisors (see below), whose sum is σ = 178163715840. Its totient is φ = 56357959680.

The previous prime is 106715133799. The next prime is 106715133853. The reversal of 106715133825 is 528331517601.

It is not a de Polignac number, because 106715133825 - 2⁶ = 106715133761 is a prime.

It is a super-2 number, since 2×106715133825² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18578904 + ... + 18584646.

It is an arithmetic number, because the mean of its divisors is an integer number (3711744080).

Almost surely, 2^106715133825 is an apocalyptic number.

106715133825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106715133825 is a deficient number, since it is larger than the sum of its proper divisors (71448582015).

106715133825 is a wasteful number, since it uses less digits than its factorization.

106715133825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8138 (or 8133 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 42.

The spelling of 106715133825 in words is "one hundred six billion, seven hundred fifteen million, one hundred thirty-three thousand, eight hundred twenty-five".