107974950912 has 272 divisors, whose sum is σ = 322958944000. Its totient is φ = 35651321856.

The previous prime is 107974950899. The next prime is 107974950913. The reversal of 107974950912 is 219059479701.

107974950912 is a `hidden beast` number, since 1 + 0 + 7 + 97 + 49 + 509 + 1 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107974950913) 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, 245956389 + ... + 245956827.

Almost surely, 2^107974950912 is an apocalyptic number.

107974950912 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 107974950912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161479472000).

107974950912 is an abundant number, since it is smaller than the sum of its proper divisors (214983993088).

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

107974950912 is an frugal number, since it uses more digits than its factorization.

107974950912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 619 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 1428840, while the sum is 54.

The spelling of 107974950912 in words is "one hundred seven billion, nine hundred seventy-four million, nine hundred fifty thousand, nine hundred twelve".