109130902151040 has 4608 divisors, whose sum is σ = 523432801382400. Its totient is φ = 20427474862080.

The previous prime is 109130902151017. The next prime is 109130902151069. The reversal of 109130902151040 is 40151209031901.

109130902151040 is a `hidden beast` number, since 1 + 0 + 9 + 1 + 30 + 90 + 21 + 510 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 109130902150986 and 109130902151004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 161197787182 + ... + 161197787858.

It is an arithmetic number, because the mean of its divisors is an integer number (113592187800).

Almost surely, 2^{109130902151040} is an apocalyptic number.

109130902151040 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 109130902151040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261716400691200).

109130902151040 is an abundant number, since it is smaller than the sum of its proper divisors (414301899231360).

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

109130902151040 is a wasteful number, since it uses less digits than its factorization.

109130902151040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 834 (or 808 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 36.

The spelling of 109130902151040 in words is "one hundred nine trillion, one hundred thirty billion, nine hundred two million, one hundred fifty-one thousand, forty".