536516100 has 108 divisors (see below), whose sum is σ = 1692836964. Its totient is φ = 142122240.

The previous prime is 536516081. The next prime is 536516131. The reversal of 536516100 is 1615635.

It is a happy number.

536516100 is a `hidden beast` number, since 5 + 3 + 651 + 6 + 1 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 163021824 + 373494276 = 12768^2 + 19326^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 139402 + ... + 143198.

Almost surely, 2^536516100 is an apocalyptic number.

536516100 is a gapful number since it is divisible by the number (50) 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 536516100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846418482).

536516100 is an abundant number, since it is smaller than the sum of its proper divisors (1156320864).

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

536516100 is a wasteful number, since it uses less digits than its factorization.

536516100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3974 (or 3964 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 536516100 is about 23162.8171861715. The cubic root of 536516100 is about 812.5702534914.

It can be divided in two parts, 536 and 516100, that added together give a triangular number (516636 = T₁₀₁₆).

The spelling of 536516100 in words is "five hundred thirty-six million, five hundred sixteen thousand, one hundred".