107314235952000 has 4608 divisors, whose sum is σ = 475258455060480. Its totient is φ = 21326807040000.

The previous prime is 107314235951963. The next prime is 107314235952019. The reversal of 107314235952000 is 259532413701.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 949683503944 + ... + 949683504056.

It is an arithmetic number, because the mean of its divisors is an integer number (103137685560).

Almost surely, 2^{107314235952000} is an apocalyptic number.

107314235952000 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 107314235952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237629227530240).

107314235952000 is an abundant number, since it is smaller than the sum of its proper divisors (367944219108480).

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

107314235952000 is a wasteful number, since it uses less digits than its factorization.

107314235952000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 42.

The spelling of 107314235952000 in words is "one hundred seven trillion, three hundred fourteen billion, two hundred thirty-five million, nine hundred fifty-two thousand".