105353535503057 has 4 divisors (see below), whose sum is σ = 105361747655220. Its totient is φ = 105345323350896.

The previous prime is 105353535503053. The next prime is 105353535503071. The reversal of 105353535503057 is 750305535353501.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 84643017626896 + 20710517876161 = 9200164^2 + 4550881^2 .

It is a cyclic number.

It is not a de Polignac number, because 105353535503057 - 2² = 105353535503053 is a prime.

It is a super-2 number, since 2×105353535503057² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 105353535502996 and 105353535503014.

It is not an unprimeable number, because it can be changed into a prime (105353535503053) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4106056838 + ... + 4106082495.

It is an arithmetic number, because the mean of its divisors is an integer number (26340436913805).

Almost surely, 2^{105353535503057} is an apocalyptic number.

It is an amenable number.

105353535503057 is a deficient number, since it is larger than the sum of its proper divisors (8212152163).

105353535503057 is an equidigital number, since it uses as much as digits as its factorization.

105353535503057 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8212152162.

The product of its (nonzero) digits is 8859375, while the sum is 50.

The spelling of 105353535503057 in words is "one hundred five trillion, three hundred fifty-three billion, five hundred thirty-five million, five hundred three thousand, fifty-seven".