534562100 has 72 divisors (see below), whose sum is σ = 1195428696. Its totient is φ = 207360000.

The previous prime is 534562087. The next prime is 534562103. The reversal of 534562100 is 1265435.

It can be written as a sum of positive squares in 12 ways, for example, as 241056676 + 293505424 = 15526^2 + 17132^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 534562100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (534562103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 987830 + ... + 988370.

Almost surely, 2^534562100 is an apocalyptic number.

534562100 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 534562100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597714348).

534562100 is an abundant number, since it is smaller than the sum of its proper divisors (660866596).

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

534562100 is a wasteful number, since it uses less digits than its factorization.

534562100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 837 (or 830 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The square root of 534562100 is about 23120.5990406823. The cubic root of 534562100 is about 811.5825889792.

The spelling of 534562100 in words is "five hundred thirty-four million, five hundred sixty-two thousand, one hundred".