107325445500 has 1152 divisors, whose sum is σ = 458364082176. Its totient is φ = 21275136000.

The previous prime is 107325445481. The next prime is 107325445511. The reversal of 107325445500 is 5544523701.

107325445500 is a `hidden beast` number, since 10 + 73 + 25 + 4 + 4 + 550 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 187960215 + ... + 187960785.

It is an arithmetic number, because the mean of its divisors is an integer number (397885488).

Almost surely, 2^107325445500 is an apocalyptic number.

107325445500 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 107325445500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229182041088).

107325445500 is an abundant number, since it is smaller than the sum of its proper divisors (351038636676).

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

107325445500 is a wasteful number, since it uses less digits than its factorization.

107325445500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The spelling of 107325445500 in words is "one hundred seven billion, three hundred twenty-five million, four hundred forty-five thousand, five hundred".