107405315352 has 192 divisors, whose sum is σ = 309652761600. Its totient is φ = 33580535040.

The previous prime is 107405315351. The next prime is 107405315377. The reversal of 107405315352 is 253513504701.

107405315352 is a `hidden beast` number, since 1 + 0 + 74 + 0 + 53 + 1 + 535 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107405315351) 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, 9813099 + ... + 9824037.

It is an arithmetic number, because the mean of its divisors is an integer number (1612774800).

Almost surely, 2^107405315352 is an apocalyptic number.

107405315352 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 107405315352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154826380800).

107405315352 is an abundant number, since it is smaller than the sum of its proper divisors (202247446248).

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

107405315352 is a wasteful number, since it uses less digits than its factorization.

107405315352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11118 (or 11111 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

The spelling of 107405315352 in words is "one hundred seven billion, four hundred five million, three hundred fifteen thousand, three hundred fifty-two".