105991253 has 16 divisors (see below), whose sum is σ = 114240000. Its totient is φ = 98038512.

The previous prime is 105991241. The next prime is 105991261. The reversal of 105991253 is 352199501.

It is a cyclic number.

It is not a de Polignac number, because 105991253 - 2¹⁶ = 105925717 is a prime.

It is a super-2 number, since 2×105991253² = 22468291425020018, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105991213) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 176648 + ... + 177246.

It is an arithmetic number, because the mean of its divisors is an integer number (7140000).

Almost surely, 2^105991253 is an apocalyptic number.

It is an amenable number.

105991253 is a deficient number, since it is larger than the sum of its proper divisors (8248747).

105991253 is a wasteful number, since it uses less digits than its factorization.

105991253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 824.

The product of its (nonzero) digits is 12150, while the sum is 35.

The square root of 105991253 is about 10295.2053403514. The cubic root of 105991253 is about 473.2493310672.

The spelling of 105991253 in words is "one hundred five million, nine hundred ninety-one thousand, two hundred fifty-three".