107050957047216 has 240 divisors, whose sum is σ = 380263662520320. Its totient is φ = 28233219306240.

The previous prime is 107050957047143. The next prime is 107050957047247. The reversal of 107050957047216 is 612740759050701.

107050957047216 is a `hidden beast` number, since 1 + 0 + 7 + 0 + 5 + 0 + 9 + 570 + 47 + 21 + 6 = 666.

It is a super-2 number, since 2×107050957047216² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 104224000 + ... + 105246111.

It is an arithmetic number, because the mean of its divisors is an integer number (1584431927168).

Almost surely, 2^{107050957047216} is an apocalyptic number.

107050957047216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

107050957047216 is an abundant number, since it is smaller than the sum of its proper divisors (273212705473104).

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

107050957047216 is a wasteful number, since it uses less digits than its factorization.

107050957047216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209470161 (or 209470136 counting only the distinct ones).

The product of its (nonzero) digits is 3704400, while the sum is 54.

The spelling of 107050957047216 in words is "one hundred seven trillion, fifty billion, nine hundred fifty-seven million, forty-seven thousand, two hundred sixteen".