109961370504 has 384 divisors, whose sum is σ = 339995335680. Its totient is φ = 33144422400.

The previous prime is 109961370479. The next prime is 109961370587. The reversal of 109961370504 is 405073169901.

109961370504 is a `hidden beast` number, since 1 + 0 + 9 + 9 + 6 + 137 + 0 + 504 = 666.

It is a super-2 number, since 2×109961370504² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 109961370504.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 185432032 + ... + 185432624.

It is an arithmetic number, because the mean of its divisors is an integer number (885404520).

Almost surely, 2^109961370504 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 109961370504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169997667840).

109961370504 is an abundant number, since it is smaller than the sum of its proper divisors (230033965176).

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

109961370504 is a wasteful number, since it uses less digits than its factorization.

109961370504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 843 (or 827 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 109961370504 in words is "one hundred nine billion, nine hundred sixty-one million, three hundred seventy thousand, five hundred four".