105055100100 has 108 divisors (see below), whose sum is σ = 335502534276. Its totient is φ = 27486101760.

The previous prime is 105055100089. The next prime is 105055100233. The reversal of 105055100100 is 1001550501.

105055100100 is a `hidden beast` number, since 1 + 0 + 50 + 5 + 510 + 0 + 100 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 2675579076 + 102379521024 = 51726^2 + 319968^2 .

It is a super-2 number, since 2×105055100100² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1053507 + ... + 1148906.

It is an arithmetic number, because the mean of its divisors is an integer number (3106504947).

Almost surely, 2^105055100100 is an apocalyptic number.

105055100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105055100100 is an abundant number, since it is smaller than the sum of its proper divisors (230447434176).

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

105055100100 is a wasteful number, since it uses less digits than its factorization.

105055100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2202486 (or 2202476 counting only the distinct ones).

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

Adding to 105055100100 its reverse (1001550501), we get a palindrome (106056650601).

The spelling of 105055100100 in words is "one hundred five billion, fifty-five million, one hundred thousand, one hundred".