100734135516 has 144 divisors (see below), whose sum is σ = 303954497280. Its totient is φ = 28766676960.

The previous prime is 100734135499. The next prime is 100734135517. The reversal of 100734135516 is 615531437001.

100734135516 is a `hidden beast` number, since 1 + 0 + 0 + 7 + 3 + 4 + 135 + 516 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100734135517) 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, 14830081 + ... + 14836871.

It is an arithmetic number, because the mean of its divisors is an integer number (2110795120).

Almost surely, 2^100734135516 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100734135516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151977248640).

100734135516 is an abundant number, since it is smaller than the sum of its proper divisors (203220361764).

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

100734135516 is a wasteful number, since it uses less digits than its factorization.

100734135516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9621 (or 9606 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The spelling of 100734135516 in words is "one hundred billion, seven hundred thirty-four million, one hundred thirty-five thousand, five hundred sixteen".