100100052 has 54 divisors (see below), whose sum is σ = 274008462. Its totient is φ = 30798144.

The previous prime is 100100051. The next prime is 100100053. The reversal of 100100052 is 250001001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (100100051) and next prime (100100053).

It can be written as a sum of positive squares in 3 ways, for example, as 6320196 + 93779856 = 2514^2 + 9684^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100100051) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2143 + ... + 14310.

Almost surely, 2^100100052 is an apocalyptic number.

100100052 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 100100052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137004231).

100100052 is an abundant number, since it is smaller than the sum of its proper divisors (173908410).

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

100100052 is a wasteful number, since it uses less digits than its factorization.

100100052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16489 (or 16471 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 9.

The square root of 100100052 is about 10005.0013493252. The cubic root of 100100052 is about 464.3136318451.

Adding to 100100052 its reverse (250001001), we get a palindrome (350101053).

The spelling of 100100052 in words is "one hundred million, one hundred thousand, fifty-two".