107949969792 has 384 divisors, whose sum is σ = 364146120000. Its totient is φ = 30682423296.

The previous prime is 107949969773. The next prime is 107949969797. The reversal of 107949969792 is 297969949701.

107949969792 is a `hidden beast` number, since 1 + 0 + 7 + 9 + 499 + 69 + 79 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 107949969792.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107949969797) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 90485548 + ... + 90486740.

Almost surely, 2^107949969792 is an apocalyptic number.

107949969792 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 107949969792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182073060000).

107949969792 is an abundant number, since it is smaller than the sum of its proper divisors (256196150208).

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

107949969792 is a wasteful number, since it uses less digits than its factorization.

107949969792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1463 (or 1434 counting only the distinct ones).

The product of its (nonzero) digits is 138883248, while the sum is 72.

The spelling of 107949969792 in words is "one hundred seven billion, nine hundred forty-nine million, nine hundred sixty-nine thousand, seven hundred ninety-two".