105345142253 has 12 divisors (see below), whose sum is σ = 114204297600. Its totient is φ = 97128856656.

The previous prime is 105345142193. The next prime is 105345142289. The reversal of 105345142253 is 352241543501.

It is not a de Polignac number, because 105345142253 - 2¹⁰ = 105345141229 is a prime.

It is a super-2 number, since 2×105345142253² (a number of 23 digits) 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 (105345145253) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 215303 + ... + 506996.

It is an arithmetic number, because the mean of its divisors is an integer number (9517024800).

Almost surely, 2^105345142253 is an apocalyptic number.

105345142253 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

105345142253 is a deficient number, since it is larger than the sum of its proper divisors (8859155347).

105345142253 is an equidigital number, since it uses as much as digits as its factorization.

105345142253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 723188 (or 723175 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 35.

Adding to 105345142253 its reverse (352241543501), we get a palindrome (457586685754).

The spelling of 105345142253 in words is "one hundred five billion, three hundred forty-five million, one hundred forty-two thousand, two hundred fifty-three".