105072120 has 128 divisors (see below), whose sum is σ = 352512000. Its totient is φ = 27838080.

The previous prime is 105072101. The next prime is 105072151. The reversal of 105072120 is 21270501.

It is a super-2 number, since 2×105072120² = 22080300802588800, which contains 22 as substring.

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 = 105072093 and 105072102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 292501 + ... + 292859.

It is an arithmetic number, because the mean of its divisors is an integer number (2754000).

Almost surely, 2^105072120 is an apocalyptic number.

105072120 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 105072120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176256000).

105072120 is an abundant number, since it is smaller than the sum of its proper divisors (247439880).

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

105072120 is a wasteful number, since it uses less digits than its factorization.

105072120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 105072120 is about 10250.4692575511. The cubic root of 105072120 is about 471.8773860383.

The spelling of 105072120 in words is "one hundred five million, seventy-two thousand, one hundred twenty".