116534100 has 72 divisors (see below), whose sum is σ = 351852480. Its totient is φ = 29722880.

The previous prime is 116534071. The next prime is 116534107. The reversal of 116534100 is 1435611.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116534107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1545 + ... + 15344.

It is an arithmetic number, because the mean of its divisors is an integer number (4886840).

Almost surely, 2^116534100 is an apocalyptic number.

116534100 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 116534100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175926240).

116534100 is an abundant number, since it is smaller than the sum of its proper divisors (235318380).

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

116534100 is a wasteful number, since it uses less digits than its factorization.

116534100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16929 (or 16922 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 116534100 is about 10795.0961088820. The cubic root of 116534100 is about 488.4472574760.

Adding to 116534100 its reverse (1435611), we get a palindrome (117969711).

It can be divided in two parts, 11653 and 4100, that added together give a triangular number (15753 = T₁₇₇).

The spelling of 116534100 in words is "one hundred sixteen million, five hundred thirty-four thousand, one hundred".