100605601000 has 32 divisors (see below), whose sum is σ = 235417108680. Its totient is φ = 40242240000.

The previous prime is 100605600971. The next prime is 100605601003. The reversal of 100605601000 is 106506001.

It can be written as a sum of positive squares in 4 ways, for example, as 64932213124 + 35673387876 = 254818^2 + 188874^2 .

It is not an unprimeable number, because it can be changed into a prime (100605601003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50301801 + ... + 50303800.

Almost surely, 2^100605601000 is an apocalyptic number.

100605601000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100605601000 is an abundant number, since it is smaller than the sum of its proper divisors (134811507680).

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

100605601000 is a wasteful number, since it uses less digits than its factorization.

100605601000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100605622 (or 100605608 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

The spelling of 100605601000 in words is "one hundred billion, six hundred five million, six hundred one thousand".