101835625068 has 36 divisors (see below), whose sum is σ = 258997095448. Its totient is φ = 33736953600.

The previous prime is 101835625039. The next prime is 101835625081. The reversal of 101835625068 is 860526538101.

101835625068 is a `hidden beast` number, since 1 + 0 + 1 + 83 + 5 + 62 + 506 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8671333 + ... + 8683068.

Almost surely, 2^101835625068 is an apocalyptic number.

101835625068 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

101835625068 is an abundant number, since it is smaller than the sum of its proper divisors (157161470380).

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

101835625068 is a wasteful number, since it uses less digits than its factorization.

101835625068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17354574 (or 17354569 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 101835625068 in words is "one hundred one billion, eight hundred thirty-five million, six hundred twenty-five thousand, sixty-eight".