100512000 has 216 divisors, whose sum is σ = 362707800. Its totient is φ = 26726400.

The previous prime is 100511981. The next prime is 100512011. The reversal of 100512000 is 215001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 831744 + 99680256 = 912^2 + 9984^2 .

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

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 287826 + ... + 288174.

Almost surely, 2^100512000 is an apocalyptic number.

100512000 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 100512000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181353900).

100512000 is an abundant number, since it is smaller than the sum of its proper divisors (262195800).

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

100512000 is an equidigital number, since it uses as much as digits as its factorization.

100512000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 359 counting only the distinct ones).

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

The square root of 100512000 is about 10025.5673156186. The cubic root of 100512000 is about 464.9496997273.

Adding to 100512000 its reverse (215001), we get a palindrome (100727001).

The spelling of 100512000 in words is "one hundred million, five hundred twelve thousand".