105252253 has 16 divisors (see below), whose sum is σ = 114048000. Its totient is φ = 96774912.

The previous prime is 105252239. The next prime is 105252263. The reversal of 105252253 is 352252501.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105252253 is a prime.

It is a super-3 number, since 3×105252253³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105252263) 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, 146028 + ... + 146746.

It is an arithmetic number, because the mean of its divisors is an integer number (7128000).

Almost surely, 2^105252253 is an apocalyptic number.

It is an amenable number.

105252253 is a deficient number, since it is larger than the sum of its proper divisors (8795747).

105252253 is a wasteful number, since it uses less digits than its factorization.

105252253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 924.

The product of its (nonzero) digits is 3000, while the sum is 25.

The square root of 105252253 is about 10259.2520682553. The cubic root of 105252253 is about 472.1468903274.

The spelling of 105252253 in words is "one hundred five million, two hundred fifty-two thousand, two hundred fifty-three".