100201552 has 60 divisors (see below), whose sum is σ = 216622420. Its totient is φ = 44858880.

The previous prime is 100201523. The next prime is 100201559. The reversal of 100201552 is 255102001.

It can be written as a sum of positive squares in 2 ways, for example, as 33223696 + 66977856 = 5764^2 + 8184^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100201559) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 140974 + ... + 141682.

Almost surely, 2^100201552 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 100201552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108311210).

100201552 is an abundant number, since it is smaller than the sum of its proper divisors (116420868).

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

100201552 is a wasteful number, since it uses less digits than its factorization.

100201552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 812 (or 795 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 16.

The square root of 100201552 is about 10010.0725272098. The cubic root of 100201552 is about 464.4705145928.

Adding to 100201552 its reverse (255102001), we get a palindrome (355303553).

The spelling of 100201552 in words is "one hundred million, two hundred one thousand, five hundred fifty-two".