100005601460 has 12 divisors (see below), whose sum is σ = 210011763108. Its totient is φ = 40002240576.

The previous prime is 100005601453. The next prime is 100005601483. The reversal of 100005601460 is 64106500001.

It can be written as a sum of positive squares in 2 ways, for example, as 63889639696 + 36115961764 = 252764^2 + 190042^2 .

It is a super-2 number, since 2×100005601460² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2500140017 + ... + 2500140056.

It is an arithmetic number, because the mean of its divisors is an integer number (17500980259).

Almost surely, 2^100005601460 is an apocalyptic number.

100005601460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100005601460 is an abundant number, since it is smaller than the sum of its proper divisors (110006161648).

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

100005601460 is a wasteful number, since it uses less digits than its factorization.

100005601460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5000280082 (or 5000280080 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The spelling of 100005601460 in words is "one hundred billion, five million, six hundred one thousand, four hundred sixty".