100061050105000 has 40 divisors (see below), whose sum is σ = 234443040407730. Its totient is φ = 40024420040000.

The previous prime is 100061050104973. The next prime is 100061050105001. The reversal of 100061050105000 is 501050160001.

It can be written as a sum of positive squares in 5 ways, for example, as 2103433903684 + 97957616201316 = 1450322^2 + 9897354^2 .

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

It is a super-2 number, since 2×100061050105000² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100061050105001) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 10006100011 + ... + 10006110010.

Almost surely, 2^{100061050105000} is an apocalyptic number.

100061050105000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100061050105000 is an abundant number, since it is smaller than the sum of its proper divisors (134381990302730).

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

100061050105000 is an equidigital number, since it uses as much as digits as its factorization.

100061050105000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20012210047 (or 20012210028 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 19.

The spelling of 100061050105000 in words is "one hundred trillion, sixty-one billion, fifty million, one hundred five thousand".