107146536016320 has 168 divisors, whose sum is σ = 387936252309840. Its totient is φ = 27068598558720.

The previous prime is 107146536016309. The next prime is 107146536016367. The reversal of 107146536016320 is 23610635641701.

107146536016320 is a `hidden beast` number, since 1 + 0 + 7 + 1 + 4 + 6 + 5 + 3 + 6 + 0 + 1 + 632 + 0 = 666.

It is a super-2 number, since 2×107146536016320² (a number of 29 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 978988921 + ... + 979098360.

Almost surely, 2^{107146536016320} is an apocalyptic number.

107146536016320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107146536016320 is an abundant number, since it is smaller than the sum of its proper divisors (280789716293520).

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

107146536016320 is a wasteful number, since it uses less digits than its factorization.

107146536016320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1958087323 (or 1958087310 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 107146536016320 in words is "one hundred seven trillion, one hundred forty-six billion, five hundred thirty-six million, sixteen thousand, three hundred twenty".