100133730 has 24 divisors (see below), whose sum is σ = 260347932. Its totient is φ = 26702304.

The previous prime is 100133717. The next prime is 100133749. The reversal of 100133730 is 37331001.

It can be written as a sum of positive squares in 2 ways, for example, as 92332881 + 7800849 = 9609^2 + 2793^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 556209 + ... + 556388.

Almost surely, 2^100133730 is an apocalyptic number.

100133730 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100133730 is an abundant number, since it is smaller than the sum of its proper divisors (160214202).

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

100133730 is a wasteful number, since it uses less digits than its factorization.

100133730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1112610 (or 1112607 counting only the distinct ones).

The product of its (nonzero) digits is 189, while the sum is 18.

The square root of 100133730 is about 10006.6842660294. The cubic root of 100133730 is about 464.3656977559.

Adding to 100133730 its reverse (37331001), we get a palindrome (137464731).

The spelling of 100133730 in words is "one hundred million, one hundred thirty-three thousand, seven hundred thirty".