100310120 has 64 divisors (see below), whose sum is σ = 240408000. Its totient is φ = 37559808.

The previous prime is 100310087. The next prime is 100310143. The reversal of 100310120 is 21013001.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 100310098 and 100310107.

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, 66899 + ... + 68381.

It is an arithmetic number, because the mean of its divisors is an integer number (3756375).

Almost surely, 2^100310120 is an apocalyptic number.

100310120 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 100310120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120204000).

100310120 is an abundant number, since it is smaller than the sum of its proper divisors (140097880).

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

100310120 is a wasteful number, since it uses less digits than its factorization.

100310120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1602 (or 1598 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 100310120 is about 10015.4939968032. The cubic root of 100310120 is about 464.6382047214.

Adding to 100310120 its reverse (21013001), we get a palindrome (121323121).

The spelling of 100310120 in words is "one hundred million, three hundred ten thousand, one hundred twenty".