100134144 has 180 divisors, whose sum is σ = 326467680. Its totient is φ = 30274560.

The previous prime is 100134121. The next prime is 100134149. The reversal of 100134144 is 441431001.

It is a super-2 number, since 2×100134144² = 20053693589225472, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100134149) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 227877 + ... + 228315.

Almost surely, 2^100134144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100134144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163233840).

100134144 is an abundant number, since it is smaller than the sum of its proper divisors (226333536).

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

100134144 is an equidigital number, since it uses as much as digits as its factorization.

100134144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 100134144 is about 10006.7049521808. The cubic root of 100134144 is about 464.3663377239.

Adding to 100134144 its reverse (441431001), we get a palindrome (541565145).

The spelling of 100134144 in words is "one hundred million, one hundred thirty-four thousand, one hundred forty-four".