116045400 has 192 divisors, whose sum is σ = 394260480. Its totient is φ = 28108800.

The previous prime is 116045393. The next prime is 116045437. The reversal of 116045400 is 4540611.

It is a super-2 number, since 2×116045400² = 26933069722320000, which 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 47 ways as a sum of consecutive naturals, for example, 316017 + ... + 316383.

It is an arithmetic number, because the mean of its divisors is an integer number (2053440).

Almost surely, 2^116045400 is an apocalyptic number.

116045400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116045400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197130240).

116045400 is an abundant number, since it is smaller than the sum of its proper divisors (278215080).

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

116045400 is a wasteful number, since it uses less digits than its factorization.

116045400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 116045400 is about 10772.4370501758. The cubic root of 116045400 is about 487.7635130249.

The spelling of 116045400 in words is "one hundred sixteen million, forty-five thousand, four hundred".