101300107158 has 96 divisors (see below), whose sum is σ = 229873280832. Its totient is φ = 32210784000.

The previous prime is 101300107157. The next prime is 101300107189. The reversal of 101300107158 is 851701003101.

101300107158 is a `hidden beast` number, since 101 + 300 + 107 + 158 = 666.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101300107157) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6921088 + ... + 6935708.

It is an arithmetic number, because the mean of its divisors is an integer number (2394513342).

Almost surely, 2^101300107158 is an apocalyptic number.

101300107158 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101300107158, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114936640416).

101300107158 is an abundant number, since it is smaller than the sum of its proper divisors (128573173674).

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

101300107158 is a wasteful number, since it uses less digits than its factorization.

101300107158 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14870 (or 14867 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 27.

The spelling of 101300107158 in words is "one hundred one billion, three hundred million, one hundred seven thousand, one hundred fifty-eight".