100105505550 has 72 divisors (see below), whose sum is σ = 284770742256. Its totient is φ = 25124517120.

The previous prime is 100105505503. The next prime is 100105505551. The reversal of 100105505550 is 55505501001.

100105505550 is a `hidden beast` number, since 1 + 0 + 0 + 10 + 550 + 55 + 50 = 666.

It is a super-2 number, since 2×100105505550² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100105505551) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6535194 + ... + 6550493.

It is an arithmetic number, because the mean of its divisors is an integer number (3955149198).

Almost surely, 2^100105505550 is an apocalyptic number.

100105505550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100105505550 is an abundant number, since it is smaller than the sum of its proper divisors (184665236706).

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

100105505550 is a wasteful number, since it uses less digits than its factorization.

100105505550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13085722 (or 13085714 counting only the distinct ones).

The product of its (nonzero) digits is 3125, while the sum is 27.

The spelling of 100105505550 in words is "one hundred billion, one hundred five million, five hundred five thousand, five hundred fifty".