101107310304 has 1152 divisors, whose sum is σ = 385718215680. Its totient is φ = 22759833600.

The previous prime is 101107310303. The next prime is 101107310329. The reversal of 101107310304 is 403013701101.

101107310304 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101107310303) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1385031612 + ... + 1385031684.

It is an arithmetic number, because the mean of its divisors is an integer number (334824840).

Almost surely, 2^101107310304 is an apocalyptic number.

101107310304 is a gapful number since it is divisible by the number (14) 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 101107310304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192859107840).

101107310304 is an abundant number, since it is smaller than the sum of its proper divisors (284610905376).

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

101107310304 is a wasteful number, since it uses less digits than its factorization.

101107310304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 21.

The spelling of 101107310304 in words is "one hundred one billion, one hundred seven million, three hundred ten thousand, three hundred four".