101232931887360 has 1008 divisors, whose sum is σ = 447459387803904. Its totient is φ = 21359018262528.

The previous prime is 101232931887239. The next prime is 101232931887383. The reversal of 101232931887360 is 63788139232101.

101232931887360 is a `hidden beast` number, since 1 + 0 + 12 + 3 + 2 + 93 + 188 + 7 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 101232931887297 and 101232931887306.

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 111 ways as a sum of consecutive naturals, for example, 84317829 + ... + 85510011.

Almost surely, 2^{101232931887360} is an apocalyptic number.

101232931887360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101232931887360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223729693901952).

101232931887360 is an abundant number, since it is smaller than the sum of its proper divisors (346226455916544).

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

101232931887360 is an equidigital number, since it uses as much as digits as its factorization.

101232931887360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1192242 (or 1192213 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 101232931887360 in words is "one hundred one trillion, two hundred thirty-two billion, nine hundred thirty-one million, eight hundred eighty-seven thousand, three hundred sixty".