101832104064 has 64 divisors (see below), whose sum is σ = 276246714240. Its totient is φ = 33221815296.

The previous prime is 101832104051. The next prime is 101832104089. The reversal of 101832104064 is 460401238101.

It is a tau number, because it is divible by the number of its divisors (64).

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 7 ways as a sum of consecutive naturals, for example, 2803099 + ... + 2839194.

It is an arithmetic number, because the mean of its divisors is an integer number (4316354910).

Almost surely, 2^101832104064 is an apocalyptic number.

It is an amenable number.

101832104064 is an abundant number, since it is smaller than the sum of its proper divisors (174414610176).

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

101832104064 is an equidigital number, since it uses as much as digits as its factorization.

101832104064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5642357 (or 5642345 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The spelling of 101832104064 in words is "one hundred one billion, eight hundred thirty-two million, one hundred four thousand, sixty-four".