534938100 has 72 divisors (see below), whose sum is σ = 1555942080. Its totient is φ = 141895680.

The previous prime is 534938081. The next prime is 534938113. The reversal of 534938100 is 1839435.

It is a super-2 number, since 2×534938100² = 572317541663220000, 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 23 ways as a sum of consecutive naturals, for example, 53281 + ... + 62519.

Almost surely, 2^534938100 is an apocalyptic number.

534938100 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 534938100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (777971040).

534938100 is an abundant number, since it is smaller than the sum of its proper divisors (1021003980).

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

534938100 is a wasteful number, since it uses less digits than its factorization.

534938100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9449 (or 9442 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 534938100 is about 23128.7288885490. The cubic root of 534938100 is about 811.7728278899.

The spelling of 534938100 in words is "five hundred thirty-four million, nine hundred thirty-eight thousand, one hundred".