100249512 has 64 divisors (see below), whose sum is σ = 279797760. Its totient is φ = 29668800.

The previous prime is 100249463. The next prime is 100249517. The reversal of 100249512 is 215942001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (100249517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6937 + ... + 15767.

It is an arithmetic number, because the mean of its divisors is an integer number (4371840).

Almost surely, 2^100249512 is an apocalyptic number.

100249512 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 100249512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139898880).

100249512 is an abundant number, since it is smaller than the sum of its proper divisors (179548248).

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

100249512 is a wasteful number, since it uses less digits than its factorization.

100249512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8894 (or 8890 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 100249512 is about 10012.4678276637. The cubic root of 100249512 is about 464.5446067679.

The spelling of 100249512 in words is "one hundred million, two hundred forty-nine thousand, five hundred twelve".