100133820 has 120 divisors (see below), whose sum is σ = 317482704. Its totient is φ = 26417664.

The previous prime is 100133807. The next prime is 100133827. The reversal of 100133820 is 28331001.

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

It is a junction number, because it is equal to n+sod(n) for n = 100133793 and 100133802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100133827) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 182787 + ... + 183333.

Almost surely, 2^100133820 is an apocalyptic number.

100133820 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 100133820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158741352).

100133820 is an abundant number, since it is smaller than the sum of its proper divisors (217348884).

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

100133820 is a wasteful number, since it uses less digits than its factorization.

100133820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 100133820 is about 10006.6887630225. The cubic root of 100133820 is about 464.3658368796.

Adding to 100133820 its reverse (28331001), we get a palindrome (128464821).

The spelling of 100133820 in words is "one hundred million, one hundred thirty-three thousand, eight hundred twenty".