107436542304 has 144 divisors (see below), whose sum is σ = 353301138288. Its totient is φ = 28334896128.

The previous prime is 107436542209. The next prime is 107436542341. The reversal of 107436542304 is 403245634701.

It is a super-2 number, since 2×107436542304² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 817287 + ... + 939590.

It is an arithmetic number, because the mean of its divisors is an integer number (2453480127).

Almost surely, 2^107436542304 is an apocalyptic number.

107436542304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

107436542304 is an abundant number, since it is smaller than the sum of its proper divisors (245864595984).

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

107436542304 is a wasteful number, since it uses less digits than its factorization.

107436542304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1756917 (or 1756902 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 39.

The spelling of 107436542304 in words is "one hundred seven billion, four hundred thirty-six million, five hundred forty-two thousand, three hundred four".