105072109 has 8 divisors (see below), whose sum is σ = 110808000. Its totient is φ = 99356832.

The previous prime is 105072101. The next prime is 105072151. The reversal of 105072109 is 901270501.

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

It is a cyclic number.

It is not a de Polignac number, because 105072109 - 2³ = 105072101 is a prime.

It is a super-2 number, since 2×105072109² = 22080296179415762, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105072101) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5952 + ... + 15670.

It is an arithmetic number, because the mean of its divisors is an integer number (13851000).

Almost surely, 2^105072109 is an apocalyptic number.

105072109 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

105072109 is a deficient number, since it is larger than the sum of its proper divisors (5735891).

105072109 is an equidigital number, since it uses as much as digits as its factorization.

105072109 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10307.

The product of its (nonzero) digits is 630, while the sum is 25.

The square root of 105072109 is about 10250.4687209903. The cubic root of 105072109 is about 471.8773695713.

The spelling of 105072109 in words is "one hundred five million, seventy-two thousand, one hundred nine".