100012512 has 48 divisors (see below), whose sum is σ = 263550672. Its totient is φ = 33208320.

The previous prime is 100012481. The next prime is 100012519. The reversal of 100012512 is 215210001.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100012519) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24712 + ... + 28472.

It is an arithmetic number, because the mean of its divisors is an integer number (5490639).

Almost surely, 2^100012512 is an apocalyptic number.

100012512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100012512 is an abundant number, since it is smaller than the sum of its proper divisors (163538160).

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

100012512 is a wasteful number, since it uses less digits than its factorization.

100012512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4051 (or 4043 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 12.

The square root of 100012512 is about 10000.6255804325. The cubic root of 100012512 is about 464.1782410738.

Adding to 100012512 its reverse (215210001), we get a palindrome (315222513).

The spelling of 100012512 in words is "one hundred million, twelve thousand, five hundred twelve".