100105105000 has 40 divisors (see below), whose sum is σ = 234546272730. Its totient is φ = 40042040000.

The previous prime is 100105104919. The next prime is 100105105019. The reversal of 100105105000 is 501501001.

It can be written as a sum of positive squares in 5 ways, for example, as 4363130916 + 95741974084 = 66054^2 + 309422^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×100105105000² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 10005511 + ... + 10015510.

Almost surely, 2^100105105000 is an apocalyptic number.

100105105000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100105105000 is an abundant number, since it is smaller than the sum of its proper divisors (134441167730).

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

100105105000 is an equidigital number, since it uses as much as digits as its factorization.

100105105000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20021047 (or 20021028 counting only the distinct ones).

The product of its (nonzero) digits is 25, while the sum is 13.

Adding to 100105105000 its reverse (501501001), we get a palindrome (100606606001).

The spelling of 100105105000 in words is "one hundred billion, one hundred five million, one hundred five thousand".