107045212955328 has 112 divisors (see below), whose sum is σ = 314702415552000. Its totient is φ = 35680681730304.

The previous prime is 107045212955327. The next prime is 107045212955341. The reversal of 107045212955328 is 823559212540701.

107045212955328 is a `hidden beast` number, since 1 + 0 + 7 + 0 + 4 + 5 + 2 + 12 + 95 + 532 + 8 = 666.

It is a super-2 number, since 2×107045212955328² (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 not an unprimeable number, because it can be changed into a prime (107045212955327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58611213 + ... + 60409971.

It is an arithmetic number, because the mean of its divisors is an integer number (2809842996000).

Almost surely, 2^{107045212955328} is an apocalyptic number.

107045212955328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

107045212955328 is an abundant number, since it is smaller than the sum of its proper divisors (207657202596672).

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

107045212955328 is a wasteful number, since it uses less digits than its factorization.

107045212955328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1833219 (or 1833203 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 54.

The spelling of 107045212955328 in words is "one hundred seven trillion, forty-five billion, two hundred twelve million, nine hundred fifty-five thousand, three hundred twenty-eight".