100535552 has 72 divisors (see below), whose sum is σ = 228956616. Its totient is φ = 43646976.

The previous prime is 100535537. The next prime is 100535563. The reversal of 100535552 is 255535001.

It can be written as a sum of positive squares in 4 ways, for example, as 11723776 + 88811776 = 3424^2 + 9424^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55688 + ... + 57464.

It is an arithmetic number, because the mean of its divisors is an integer number (3179953).

Almost surely, 2^100535552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100535552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114478308).

100535552 is an abundant number, since it is smaller than the sum of its proper divisors (128421064).

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

100535552 is a wasteful number, since it uses less digits than its factorization.

100535552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1823 (or 1809 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 26.

The square root of 100535552 is about 10026.7418436898. The cubic root of 100535552 is about 464.9860126058.

The spelling of 100535552 in words is "one hundred million, five hundred thirty-five thousand, five hundred fifty-two".