100420259600 has 60 divisors (see below), whose sum is σ = 241316037300. Its totient is φ = 40158720000.

The previous prime is 100420259591. The next prime is 100420259609. The reversal of 100420259600 is 6952024001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (100420259591) and next prime (100420259609).

It can be written as a sum of positive squares in 6 ways, for example, as 75759616 + 100344499984 = 8704^2 + 316772^2 .

It is not an unprimeable number, because it can be changed into a prime (100420259609) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1832600 + ... + 1886600.

It is an arithmetic number, because the mean of its divisors is an integer number (4021933955).

Almost surely, 2^100420259600 is an apocalyptic number.

100420259600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100420259600 is an abundant number, since it is smaller than the sum of its proper divisors (140895777700).

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

100420259600 is a wasteful number, since it uses less digits than its factorization.

100420259600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58668 (or 58657 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The spelling of 100420259600 in words is "one hundred billion, four hundred twenty million, two hundred fifty-nine thousand, six hundred".