107887583232 has 672 divisors, whose sum is σ = 380704222080. Its totient is φ = 30098718720.

The previous prime is 107887583231. The next prime is 107887583233. The reversal of 107887583232 is 232385788701.

It is an interprime number because it is at equal distance from previous prime (107887583231) and next prime (107887583233).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107887583231) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 284663619 + ... + 284663997.

It is an arithmetic number, because the mean of its divisors is an integer number (566524140).

Almost surely, 2^107887583232 is an apocalyptic number.

107887583232 is a gapful number since it is divisible by the number (12) 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 107887583232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190352111040).

107887583232 is an abundant number, since it is smaller than the sum of its proper divisors (272816638848).

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

107887583232 is an equidigital number, since it uses as much as digits as its factorization.

107887583232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 107887583232 in words is "one hundred seven billion, eight hundred eighty-seven million, five hundred eighty-three thousand, two hundred thirty-two".