101813327964 has 72 divisors (see below), whose sum is σ = 277641982800. Its totient is φ = 31338757632.

The previous prime is 101813327929. The next prime is 101813327983. The reversal of 101813327964 is 469723318101.

101813327964 is a `hidden beast` number, since 10 + 181 + 332 + 79 + 64 = 666.

101813327964 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×101813327964² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1537014 + ... + 1601885.

It is an arithmetic number, because the mean of its divisors is an integer number (3856138650).

Almost surely, 2^101813327964 is an apocalyptic number.

It is an amenable number.

101813327964 is an abundant number, since it is smaller than the sum of its proper divisors (175828654836).

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

101813327964 is a wasteful number, since it uses less digits than its factorization.

101813327964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3138979 (or 3138974 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 101813327964 in words is "one hundred one billion, eight hundred thirteen million, three hundred twenty-seven thousand, nine hundred sixty-four".