107057755300 has 72 divisors (see below), whose sum is σ = 244757772000. Its totient is φ = 40533534720.

The previous prime is 107057755297. The next prime is 107057755417. The reversal of 107057755300 is 3557750701.

It is a super-2 number, since 2×107057755300² (a number of 23 digits) contains 22 as substring.

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, 2185476 + ... + 2233924.

It is an arithmetic number, because the mean of its divisors is an integer number (3399413500).

Almost surely, 2^107057755300 is an apocalyptic number.

107057755300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107057755300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122378886000).

107057755300 is an abundant number, since it is smaller than the sum of its proper divisors (137700016700).

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

107057755300 is a wasteful number, since it uses less digits than its factorization.

107057755300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49645 (or 49638 counting only the distinct ones).

The product of its (nonzero) digits is 128625, while the sum is 40.

The spelling of 107057755300 in words is "one hundred seven billion, fifty-seven million, seven hundred fifty-five thousand, three hundred".