100536552 has 80 divisors (see below), whose sum is σ = 284294340. Its totient is φ = 33191424.

The previous prime is 100536547. The next prime is 100536559. The reversal of 100536552 is 255635001.

100536552 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 3 + 655 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 100520676 + 15876 = 10026^2 + 126^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (100536559) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 72538 + ... + 73910.

Almost surely, 2^100536552 is an apocalyptic number.

100536552 is a gapful number since it is divisible by the number (12) 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 100536552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142147170).

100536552 is an abundant number, since it is smaller than the sum of its proper divisors (183757788).

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

100536552 is a wasteful number, since it uses less digits than its factorization.

100536552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1504 (or 1491 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 100536552 is about 10026.7917102132. The cubic root of 100536552 is about 464.9875542975.

The spelling of 100536552 in words is "one hundred million, five hundred thirty-six thousand, five hundred fifty-two".