107561322792 has 384 divisors, whose sum is σ = 379110009600. Its totient is φ = 27656640000.

The previous prime is 107561322751. The next prime is 107561322833. The reversal of 107561322792 is 297223165701.

It is a happy number.

107561322792 is a `hidden beast` number, since 1 + 0 + 7 + 5 + 613 + 2 + 27 + 9 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (107561322751) and next prime (107561322833).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18475242 + ... + 18481062.

It is an arithmetic number, because the mean of its divisors is an integer number (987265650).

Almost surely, 2^107561322792 is an apocalyptic number.

107561322792 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 107561322792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189555004800).

107561322792 is an abundant number, since it is smaller than the sum of its proper divisors (271548686808).

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

107561322792 is a wasteful number, since it uses less digits than its factorization.

107561322792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5966 (or 5945 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 107561322792 in words is "one hundred seven billion, five hundred sixty-one million, three hundred twenty-two thousand, seven hundred ninety-two".