105262053 has 32 divisors (see below), whose sum is σ = 158699520. Its totient is φ = 61575360.

The previous prime is 105262043. The next prime is 105262061. The reversal of 105262053 is 350262501.

It is not a de Polignac number, because 105262053 - 2⁸ = 105261797 is a prime.

It is a super-2 number, since 2×105262053² = 22160199603549618, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105262013) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 214138 + ... + 214628.

It is an arithmetic number, because the mean of its divisors is an integer number (4959360).

Almost surely, 2^105262053 is an apocalyptic number.

105262053 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

105262053 is a deficient number, since it is larger than the sum of its proper divisors (53437467).

105262053 is a wasteful number, since it uses less digits than its factorization.

105262053 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 769.

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 105262053 is about 10259.7296748014. The cubic root of 105262053 is about 472.1615436826.

The spelling of 105262053 in words is "one hundred five million, two hundred sixty-two thousand, fifty-three".