100556365200 has 240 divisors, whose sum is σ = 334551623040. Its totient is φ = 25796136960.

The previous prime is 100556365199. The next prime is 100556365211. The reversal of 100556365200 is 2563655001.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×100556365200² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 3938877 + ... + 3964323.

It is an arithmetic number, because the mean of its divisors is an integer number (1393965096).

Almost surely, 2^100556365200 is an apocalyptic number.

100556365200 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 100556365200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167275811520).

100556365200 is an abundant number, since it is smaller than the sum of its proper divisors (233995257840).

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

100556365200 is a wasteful number, since it uses less digits than its factorization.

100556365200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25594 (or 25583 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 33.

The spelling of 100556365200 in words is "one hundred billion, five hundred fifty-six million, three hundred sixty-five thousand, two hundred".