100512900 has 90 divisors (see below), whose sum is σ = 325849370. Its totient is φ = 26801280.

The previous prime is 100512871. The next prime is 100512901. The reversal of 100512900 is 9215001.

It can be written as a sum of positive squares in 3 ways, for example, as 352836 + 100160064 = 594^2 + 10008^2 .

It is a tau number, because it is divible by the number of its divisors (90).

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

It is not an unprimeable number, because it can be changed into a prime (100512901) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1896 + ... + 14304.

Almost surely, 2^100512900 is an apocalyptic number.

100512900 is a gapful number since it is divisible by the number (10) 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 100512900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162924685).

100512900 is an abundant number, since it is smaller than the sum of its proper divisors (225336470).

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

100512900 is a wasteful number, since it uses less digits than its factorization.

100512900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12435 (or 12419 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 100512900 is about 10025.6122007586. The cubic root of 100512900 is about 464.9510874670.

Adding to 100512900 its reverse (9215001), we get a palindrome (109727901).

The spelling of 100512900 in words is "one hundred million, five hundred twelve thousand, nine hundred".