107147913765120 has 576 divisors, whose sum is σ = 384280331016960. Its totient is φ = 28269038665728.

The previous prime is 107147913765023. The next prime is 107147913765121. The reversal of 107147913765120 is 21567319741701.

107147913765120 is a `hidden beast` number, since 1 + 0 + 7 + 1 + 4 + 7 + 91 + 37 + 6 + 512 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×107147913765120² (a number of 29 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (107147913765121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2198648274 + ... + 2198697006.

It is an arithmetic number, because the mean of its divisors is an integer number (667153352460).

Almost surely, 2^{107147913765120} is an apocalyptic number.

107147913765120 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 107147913765120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192140165508480).

107147913765120 is an abundant number, since it is smaller than the sum of its proper divisors (277132417251840).

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

107147913765120 is a wasteful number, since it uses less digits than its factorization.

107147913765120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49439 (or 49419 counting only the distinct ones).

The product of its (nonzero) digits is 2222640, while the sum is 54.

The spelling of 107147913765120 in words is "one hundred seven trillion, one hundred forty-seven billion, nine hundred thirteen million, seven hundred sixty-five thousand, one hundred twenty".