116820404100 has 81 divisors (see below), whose sum is σ = 366199209103. Its totient is φ = 31149373440.

The previous prime is 116820404081. The next prime is 116820404149. The reversal of 116820404100 is 1404028611.

It is a happy number.

The square root of 116820404100 is 341790.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1475942724 + 115344461376 = 38418^2 + 339624^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 10248004 + ... + 10259396.

Almost surely, 2^116820404100 is an apocalyptic number.

116820404100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

116820404100 is the 341790-th square number.

It is an amenable number.

116820404100 is an abundant number, since it is smaller than the sum of its proper divisors (249378805003).

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

116820404100 is an equidigital number, since it uses as much as digits as its factorization.

116820404100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22806 (or 11403 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The spelling of 116820404100 in words is "one hundred sixteen billion, eight hundred twenty million, four hundred four thousand, one hundred".