109135815637072 has 160 divisors (see below), whose sum is σ = 259891508736000. Its totient is φ = 43350884688384.

The previous prime is 109135815636973. The next prime is 109135815637099. The reversal of 109135815637072 is 270736518531901.

It is a junction number, because it is equal to n+sod(n) for n = 109135815636998 and 109135815637016.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 254726743 + ... + 255154825.

It is an arithmetic number, because the mean of its divisors is an integer number (1624321929600).

Almost surely, 2^{109135815637072} 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 109135815637072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129945754368000).

109135815637072 is an abundant number, since it is smaller than the sum of its proper divisors (150755693098928).

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

109135815637072 is a wasteful number, since it uses less digits than its factorization.

109135815637072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430713 (or 430707 counting only the distinct ones).

The product of its (nonzero) digits is 9525600, while the sum is 58.

The spelling of 109135815637072 in words is "one hundred nine trillion, one hundred thirty-five billion, eight hundred fifteen million, six hundred thirty-seven thousand, seventy-two".