101356104960 has 1296 divisors, whose sum is σ = 419848228800. Its totient is φ = 22481141760.

The previous prime is 101356104907. The next prime is 101356104973. The reversal of 101356104960 is 69401653101.

101356104960 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 561 + 0 + 4 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 143 ways as a sum of consecutive naturals, for example, 1138832596 + ... + 1138832684.

Almost surely, 2^101356104960 is an apocalyptic number.

101356104960 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 101356104960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209924114400).

101356104960 is an abundant number, since it is smaller than the sum of its proper divisors (318492123840).

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

101356104960 is a wasteful number, since it uses less digits than its factorization.

101356104960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 101356104960 in words is "one hundred one billion, three hundred fifty-six million, one hundred four thousand, nine hundred sixty".