100352936880 has 640 divisors, whose sum is σ = 424377600000. Its totient is φ = 21727512576.

The previous prime is 100352936857. The next prime is 100352936881. The reversal of 100352936880 is 88639253001.

It is a happy number.

100352936880 is a `hidden beast` number, since 10 + 0 + 3 + 529 + 36 + 8 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (100352936881) 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 127 ways as a sum of consecutive naturals, for example, 14073156 + ... + 14080284.

It is an arithmetic number, because the mean of its divisors is an integer number (663090000).

Almost surely, 2^100352936880 is an apocalyptic number.

100352936880 is a gapful number since it is divisible by the number (10) 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 100352936880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212188800000).

100352936880 is an abundant number, since it is smaller than the sum of its proper divisors (324024663120).

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

100352936880 is a wasteful number, since it uses less digits than its factorization.

100352936880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7191 (or 7165 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 100352936880 in words is "one hundred billion, three hundred fifty-two million, nine hundred thirty-six thousand, eight hundred eighty".