107350553100 has 288 divisors, whose sum is σ = 370761269760. Its totient is φ = 23468451840.

The previous prime is 107350553083. The next prime is 107350553111. The reversal of 107350553100 is 1355053701.

It is a super-2 number, since 2×107350553100² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4572592 + ... + 4596008.

It is an arithmetic number, because the mean of its divisors is an integer number (1287365520).

Almost surely, 2^107350553100 is an apocalyptic number.

107350553100 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 107350553100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185380634880).

107350553100 is an abundant number, since it is smaller than the sum of its proper divisors (263410716660).

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

107350553100 is a wasteful number, since it uses less digits than its factorization.

107350553100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23537 (or 23530 counting only the distinct ones).

The product of its (nonzero) digits is 7875, while the sum is 30.

The spelling of 107350553100 in words is "one hundred seven billion, three hundred fifty million, five hundred fifty-three thousand, one hundred".