10555972820100 has 180 divisors, whose sum is σ = 34241785208400. Its totient is φ = 2812993583040.

The previous prime is 10555972820047. The next prime is 10555972820137. The reversal of 10555972820100 is 102827955501.

10555972820100 is a `hidden beast` number, since 1 + 0 + 5 + 5 + 597 + 28 + 20 + 10 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×10555972820100² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 11371291 + ... + 12264509.

Almost surely, 2^{10555972820100} is an apocalyptic number.

10555972820100 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 10555972820100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17120892604200).

10555972820100 is an abundant number, since it is smaller than the sum of its proper divisors (23685812388300).

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

10555972820100 is a wasteful number, since it uses less digits than its factorization.

10555972820100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 894704 (or 894688 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 45.

The spelling of 10555972820100 in words is "ten trillion, five hundred fifty-five billion, nine hundred seventy-two million, eight hundred twenty thousand, one hundred".