100552458160 has 640 divisors, whose sum is σ = 328838952960. Its totient is φ = 27603763200.

The previous prime is 100552458131. The next prime is 100552458163. The reversal of 100552458160 is 61854255001.

It is a super-2 number, since 2×100552458160² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100552458163) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 192998700 + ... + 192999220.

It is an arithmetic number, because the mean of its divisors is an integer number (513810864).

Almost surely, 2^100552458160 is an apocalyptic number.

100552458160 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 100552458160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164419476480).

100552458160 is an abundant number, since it is smaller than the sum of its proper divisors (228286494800).

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

100552458160 is a wasteful number, since it uses less digits than its factorization.

100552458160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 37.

The spelling of 100552458160 in words is "one hundred billion, five hundred fifty-two million, four hundred fifty-eight thousand, one hundred sixty".