100920 has 48 divisors (see below), whose sum is σ = 313560. Its totient is φ = 25984.

The previous prime is 100913. The next prime is 100927. The reversal of 100920 is 29001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (100913) and next prime (100927).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 100896 and 100905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3466 + ... + 3494.

2¹⁰⁰⁹²⁰ is an apocalyptic number.

100920 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 100920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156780).

100920 is an abundant number, since it is smaller than the sum of its proper divisors (212640).

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

100920 is a wasteful number, since it uses less digits than its factorization.

100920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 100920 is about 317.6790833530. The cubic root of 100920 is about 46.5577960955.

Adding to 100920 its reverse (29001), we get a palindrome (129921).

The spelling of 100920 in words is "one hundred thousand, nine hundred twenty".