105253245009 has 72 divisors (see below), whose sum is σ = 170239829760. Its totient is φ = 62606364480.

The previous prime is 105253245007. The next prime is 105253245017. The reversal of 105253245009 is 900542352501.

It is a happy number.

105253245009 is a `hidden beast` number, since 105 + 25 + 3 + 24 + 500 + 9 = 666.

It is not a de Polignac number, because 105253245009 - 2¹ = 105253245007 is a prime.

It is a super-2 number, since 2×105253245009² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105253245007) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12696864 + ... + 12705150.

It is an arithmetic number, because the mean of its divisors is an integer number (2364442080).

Almost surely, 2^105253245009 is an apocalyptic number.

It is an amenable number.

105253245009 is a deficient number, since it is larger than the sum of its proper divisors (64986584751).

105253245009 is a wasteful number, since it uses less digits than its factorization.

105253245009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8531 (or 8517 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 105253245009 in words is "one hundred five billion, two hundred fifty-three million, two hundred forty-five thousand, nine".