100010100 has 36 divisors (see below), whose sum is σ = 289363424. Its totient is φ = 26669280.

The previous prime is 100010077. The next prime is 100010107. The reversal of 100010100 is 1010001.

It is a Harshad number since it is a multiple of its sum of digits (3).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100010107) 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 11 ways as a sum of consecutive naturals, for example, 166384 + ... + 166983.

Almost surely, 2^100010100 is an apocalyptic number.

100010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100010100 is an abundant number, since it is smaller than the sum of its proper divisors (189353324).

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

100010100 is a wasteful number, since it uses less digits than its factorization.

100010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333384 (or 333377 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 3.

The square root of 100010100 is about 10000.5049872494. The cubic root of 100010100 is about 464.1745095176.

Adding to 100010100 its reverse (1010001), we get a palindrome (101020101).

Subtracting from 100010100 its reverse (1010001), we obtain a palindrome (99000099).

The spelling of 100010100 in words is "one hundred million, ten thousand, one hundred".