107055837824 has 96 divisors (see below), whose sum is σ = 231415218300. Its totient is φ = 49330305024.

The previous prime is 107055837809. The next prime is 107055837827. The reversal of 107055837824 is 428738550701.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 55903873600 + 51151964224 = 236440^2 + 226168^2 .

It is a super-2 number, since 2×107055837824² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (107055837827) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 173509964 + ... + 173510580.

Almost surely, 2^107055837824 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 107055837824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115707609150).

107055837824 is an abundant number, since it is smaller than the sum of its proper divisors (124359380476).

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

107055837824 is an frugal number, since it uses more digits than its factorization.

107055837824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1287 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 1881600, while the sum is 50.

The spelling of 107055837824 in words is "one hundred seven billion, fifty-five million, eight hundred thirty-seven thousand, eight hundred twenty-four".