116424100 has 81 divisors (see below), whose sum is σ = 276904803. Its totient is φ = 42469440.

The previous prime is 116424097. The next prime is 116424101. The reversal of 116424100 is 1424611.

The square root of 116424100 is 10790.

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 30008484 + 86415616 = 5478^2 + 9296^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (116424101) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1402659 + ... + 1402741.

Almost surely, 2^116424100 is an apocalyptic number.

116424100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

116424100 is the 10790-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116424100

116424100 is an abundant number, since it is smaller than the sum of its proper divisors (160480703).

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

116424100 is a wasteful number, since it uses less digits than its factorization.

116424100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The cubic root of 116424100 is about 488.2935224670.

Adding to 116424100 its reverse (1424611), we get a palindrome (117848711).

The spelling of 116424100 in words is "one hundred sixteen million, four hundred twenty-four thousand, one hundred".