100512 has 36 divisors (see below), whose sum is σ = 286650. Its totient is φ = 33408.

The previous prime is 100511. The next prime is 100517. The reversal of 100512 is 215001.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 76176 + 24336 = 276^2 + 156^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a plaindrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 100494 and 100503.

It is not an unprimeable number, because it can be changed into a prime (100511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 114 + ... + 462.

2¹⁰⁰⁵¹² is an apocalyptic number.

100512 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 100512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143325).

100512 is an abundant number, since it is smaller than the sum of its proper divisors (186138).

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

100512 is a wasteful number, since it uses less digits than its factorization.

100512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 354 counting only the distinct ones).

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

The square root of 100512 is about 317.0362755269. The cubic root of 100512 is about 46.4949699727.

Adding to 100512 its reverse (215001), we get a palindrome (315513).

It can be divided in two parts, 10051 and 2, that multiplied together give a palindrome (20102).

The spelling of 100512 in words is "one hundred thousand, five hundred twelve".