116401050 has 120 divisors (see below), whose sum is σ = 331783452. Its totient is φ = 30240000.

The previous prime is 116401039. The next prime is 116401069. The reversal of 116401050 is 50104611.

116401050 is a `hidden beast` number, since 11 + 640 + 10 + 5 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 33281361 + 83119689 = 5769^2 + 9117^2 .

It is a super-2 number, since 2×116401050² = 27098408882205000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 165700 + ... + 166400.

Almost surely, 2^116401050 is an apocalyptic number.

116401050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 116401050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165891726).

116401050 is an abundant number, since it is smaller than the sum of its proper divisors (215382402).

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

116401050 is a wasteful number, since it uses less digits than its factorization.

116401050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766 (or 752 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 116401050 is about 10788.9318284991. The cubic root of 116401050 is about 488.2612957243.

Adding to 116401050 its reverse (50104611), we get a palindrome (166505661).

The spelling of 116401050 in words is "one hundred sixteen million, four hundred one thousand, fifty".