107761045392 has 1440 divisors, whose sum is σ = 444228512000. Its totient is φ = 24141680640.

The previous prime is 107761045349. The next prime is 107761045397. The reversal of 107761045392 is 293540167701.

107761045392 is a `hidden beast` number, since 1 + 0 + 7 + 7 + 6 + 104 + 539 + 2 = 666.

It is a super-2 number, since 2×107761045392² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (107761045397) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1476178668 + ... + 1476178740.

Almost surely, 2^107761045392 is an apocalyptic number.

107761045392 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 107761045392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222114256000).

107761045392 is an abundant number, since it is smaller than the sum of its proper divisors (336467466608).

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

107761045392 is a wasteful number, since it uses less digits than its factorization.

107761045392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 128 counting only the distinct ones).

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

The spelling of 107761045392 in words is "one hundred seven billion, seven hundred sixty-one million, forty-five thousand, three hundred ninety-two".