105072121 has 24 divisors (see below), whose sum is σ = 141194016. Its totient is φ = 77051520.

The previous prime is 105072101. The next prime is 105072151. The reversal of 105072121 is 121270501.

It is not a de Polignac number, because 105072121 - 2⁵ = 105072089 is a prime.

It is a super-2 number, since 2×105072121² = 22080301222877282, which contains 22 as substring.

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

It is a Duffinian 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 23 ways as a sum of consecutive naturals, for example, 3430 + ... + 14896.

It is an arithmetic number, because the mean of its divisors is an integer number (5883084).

Almost surely, 2^105072121 is an apocalyptic number.

105072121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

105072121 is a deficient number, since it is larger than the sum of its proper divisors (36121895).

105072121 is a wasteful number, since it uses less digits than its factorization.

105072121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11509 (or 11502 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 19.

The square root of 105072121 is about 10250.4693063293. The cubic root of 105072121 is about 471.8773875352.

The spelling of 105072121 in words is "one hundred five million, seventy-two thousand, one hundred twenty-one".