100260120 has 64 divisors (see below), whose sum is σ = 302641920. Its totient is φ = 26570624.

The previous prime is 100260113. The next prime is 100260217. The reversal of 100260120 is 21062001.

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 = 100260096 and 100260105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17539 + ... + 22541.

It is an arithmetic number, because the mean of its divisors is an integer number (4728780).

Almost surely, 2^100260120 is an apocalyptic number.

100260120 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 100260120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151320960).

100260120 is an abundant number, since it is smaller than the sum of its proper divisors (202381800).

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

100260120 is a wasteful number, since it uses less digits than its factorization.

100260120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5184 (or 5180 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 100260120 is about 10012.9975531806. The cubic root of 100260120 is about 464.5609916037.

The spelling of 100260120 in words is "one hundred million, two hundred sixty thousand, one hundred twenty".