105072130 has 8 divisors (see below), whose sum is σ = 189129852. Its totient is φ = 42028848.

The previous prime is 105072101. The next prime is 105072151. The reversal of 105072130 is 31270501.

It can be written as a sum of positive squares in 2 ways, for example, as 102151449 + 2920681 = 10107^2 + 1709^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a super-2 number, since 2×105072130² = 22080305005473800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105072098 and 105072107.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5253597 + ... + 5253616.

Almost surely, 2^105072130 is an apocalyptic number.

105072130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105072130 is a deficient number, since it is larger than the sum of its proper divisors (84057722).

105072130 is a wasteful number, since it uses less digits than its factorization.

105072130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10507220.

The product of its (nonzero) digits is 210, while the sum is 19.

The square root of 105072130 is about 10250.4697453336. The cubic root of 105072130 is about 471.8774010082.

The spelling of 105072130 in words is "one hundred five million, seventy-two thousand, one hundred thirty".