100123100 has 72 divisors (see below), whose sum is σ = 270899328. Its totient is φ = 31204800.

The previous prime is 100123097. The next prime is 100123123. The reversal of 100123100 is 1321001.

It is a super-2 number, since 2×100123100² = 20049270307220000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1199 + ... + 14201.

Almost surely, 2^100123100 is an apocalyptic number.

100123100 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 100123100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135449664).

100123100 is an abundant number, since it is smaller than the sum of its proper divisors (170776228).

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

100123100 is a wasteful number, since it uses less digits than its factorization.

100123100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13035 (or 13028 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 100123100 is about 10006.1531069637. The cubic root of 100123100 is about 464.3492651245.

Adding to 100123100 its reverse (1321001), we get a palindrome (101444101).

The spelling of 100123100 in words is "one hundred million, one hundred twenty-three thousand, one hundred".