107964261504 has 384 divisors, whose sum is σ = 370872734400. Its totient is φ = 30789918720.

The previous prime is 107964261463. The next prime is 107964261523. The reversal of 107964261504 is 405162469701.

107964261504 is a `hidden beast` number, since 1 + 0 + 79 + 6 + 426 + 150 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 107964261504.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7101399 + ... + 7116585.

Almost surely, 2^107964261504 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 107964261504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185436367200).

107964261504 is an abundant number, since it is smaller than the sum of its proper divisors (262908472896).

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

107964261504 is a wasteful number, since it uses less digits than its factorization.

107964261504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15249 (or 15220 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 107964261504 in words is "one hundred seven billion, nine hundred sixty-four million, two hundred sixty-one thousand, five hundred four".