100552822640 has 160 divisors (see below), whose sum is σ = 257878494720. Its totient is φ = 36296294400.

The previous prime is 100552822627. The next prime is 100552822693. The reversal of 100552822640 is 46228255001.

It is a super-3 number, since 3×100552822640³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 100552822640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4584500 + ... + 4606380.

It is an arithmetic number, because the mean of its divisors is an integer number (1611740592).

Almost surely, 2^100552822640 is an apocalyptic number.

100552822640 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 100552822640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128939247360).

100552822640 is an abundant number, since it is smaller than the sum of its proper divisors (157325672080).

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

100552822640 is a wasteful number, since it uses less digits than its factorization.

100552822640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22051 (or 22045 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 35.

The spelling of 100552822640 in words is "one hundred billion, five hundred fifty-two million, eight hundred twenty-two thousand, six hundred forty".