107873251315200 has 1080 divisors, whose sum is σ = 449289387466920. Its totient is φ = 24645080678400.

The previous prime is 107873251315147. The next prime is 107873251315303. The reversal of 107873251315200 is 2513152378701.

107873251315200 is a `hidden beast` number, since 1 + 0 + 7 + 8 + 7 + 325 + 1 + 315 + 2 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 19028617966 + ... + 19028623634.

It is an arithmetic number, because the mean of its divisors is an integer number (416008692099).

Almost surely, 2^{107873251315200} is an apocalyptic number.

107873251315200 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 107873251315200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224644693733460).

107873251315200 is an abundant number, since it is smaller than the sum of its proper divisors (341416136151720).

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

107873251315200 is a wasteful number, since it uses less digits than its factorization.

107873251315200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9088 (or 9057 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The spelling of 107873251315200 in words is "one hundred seven trillion, eight hundred seventy-three billion, two hundred fifty-one million, three hundred fifteen thousand, two hundred".