105001000105500 has 144 divisors (see below), whose sum is σ = 331247860987680. Its totient is φ = 27999868896000.

The previous prime is 105001000105453. The next prime is 105001000105579. The reversal of 105001000105500 is 5501000100501.

105001000105500 is a `hidden beast` number, since 1 + 0 + 5 + 0 + 0 + 100 + 0 + 10 + 550 + 0 = 666.

It is a super-2 number, since 2×105001000105500² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 456234456 + ... + 456464544.

It is an arithmetic number, because the mean of its divisors is an integer number (2300332367970).

Almost surely, 2^{105001000105500} is an apocalyptic number.

105001000105500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105001000105500 is an abundant number, since it is smaller than the sum of its proper divisors (226246860882180).

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

105001000105500 is a wasteful number, since it uses less digits than its factorization.

105001000105500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331525 (or 331510 counting only the distinct ones).

The product of its (nonzero) digits is 125, while the sum is 18.

The spelling of 105001000105500 in words is "one hundred five trillion, one billion, one hundred five thousand, five hundred".