100576797552 has 320 divisors, whose sum is σ = 360510259200. Its totient is φ = 26081637120.

The previous prime is 100576797551. The next prime is 100576797569. The reversal of 100576797552 is 255797675001.

100576797552 is a `hidden beast` number, since 10 + 0 + 5 + 7 + 6 + 79 + 7 + 552 = 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 (100576797551) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24180849 + ... + 24185007.

It is an arithmetic number, because the mean of its divisors is an integer number (1126594560).

Almost surely, 2^100576797552 is an apocalyptic number.

100576797552 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 100576797552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180255129600).

100576797552 is an abundant number, since it is smaller than the sum of its proper divisors (259933461648).

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

100576797552 is a wasteful number, since it uses less digits than its factorization.

100576797552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4921 (or 4909 counting only the distinct ones).

The product of its (nonzero) digits is 4630500, while the sum is 54.

The spelling of 100576797552 in words is "one hundred billion, five hundred seventy-six million, seven hundred ninety-seven thousand, five hundred fifty-two".