100134072 has 48 divisors (see below), whose sum is σ = 271711440. Its totient is φ = 33314688.

The previous prime is 100134053. The next prime is 100134077. The reversal of 100134072 is 270431001.

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 (100134077) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51388 + ... + 53300.

It is an arithmetic number, because the mean of its divisors is an integer number (5660655).

Almost surely, 2^100134072 is an apocalyptic number.

100134072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100134072 is an abundant number, since it is smaller than the sum of its proper divisors (171577368).

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

100134072 is a wasteful number, since it uses less digits than its factorization.

100134072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2652 (or 2645 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 100134072 is about 10006.7013545923. The cubic root of 100134072 is about 464.3662264252.

Adding to 100134072 its reverse (270431001), we get a palindrome (370565073).

The spelling of 100134072 in words is "one hundred million, one hundred thirty-four thousand, seventy-two".