107875437120 has 672 divisors, whose sum is σ = 422775400320. Its totient is φ = 26000455680.

The previous prime is 107875437119. The next prime is 107875437127. The reversal of 107875437120 is 21734578701.

107875437120 is a `hidden beast` number, since 1 + 0 + 7 + 87 + 543 + 7 + 1 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107875437127) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 623557354 + ... + 623557526.

It is an arithmetic number, because the mean of its divisors is an integer number (629130060).

Almost surely, 2^107875437120 is an apocalyptic number.

107875437120 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 107875437120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211387700160).

107875437120 is an abundant number, since it is smaller than the sum of its proper divisors (314899963200).

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

107875437120 is an frugal number, since it uses more digits than its factorization.

107875437120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 45.

The spelling of 107875437120 in words is "one hundred seven billion, eight hundred seventy-five million, four hundred thirty-seven thousand, one hundred twenty".