107441672709504 has 128 divisors (see below), whose sum is σ = 336683582945280. Its totient is φ = 29707374919680.

The previous prime is 107441672709461. The next prime is 107441672709517. The reversal of 107441672709504 is 405907276144701.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 644607969 + ... + 644774624.

It is an arithmetic number, because the mean of its divisors is an integer number (2630340491760).

Almost surely, 2^{107441672709504} is an apocalyptic number.

107441672709504 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

107441672709504 is an abundant number, since it is smaller than the sum of its proper divisors (229241910235776).

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

107441672709504 is a wasteful number, since it uses less digits than its factorization.

107441672709504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1289382648 (or 1289382636 counting only the distinct ones).

The product of its (nonzero) digits is 11854080, while the sum is 57.

The spelling of 107441672709504 in words is "one hundred seven trillion, four hundred forty-one billion, six hundred seventy-two million, seven hundred nine thousand, five hundred four".