100252512 has 192 divisors, whose sum is σ = 319334400. Its totient is φ = 30481920.

The previous prime is 100252511. The next prime is 100252517. The reversal of 100252512 is 215252001.

100252512 is a `hidden beast` number, since 100 + 2 + 52 + 512 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100252511) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 508798 + ... + 508994.

It is an arithmetic number, because the mean of its divisors is an integer number (1663200).

Almost surely, 2^100252512 is an apocalyptic number.

100252512 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 100252512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159667200).

100252512 is an abundant number, since it is smaller than the sum of its proper divisors (219081888).

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

100252512 is a wasteful number, since it uses less digits than its factorization.

100252512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 100252512 is about 10012.6176397583. The cubic root of 100252512 is about 464.5492406056.

The spelling of 100252512 in words is "one hundred million, two hundred fifty-two thousand, five hundred twelve".