105414013553 has 2 divisors, whose sum is σ = 105414013554. Its totient is φ = 105414013552.

The previous prime is 105414013501. The next prime is 105414013571. The reversal of 105414013553 is 355310414501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 105006458209 + 407555344 = 324047^2 + 20188^2 .

It is a cyclic number.

It is not a de Polignac number, because 105414013553 - 2²⁴ = 105397236337 is a prime.

It is a super-2 number, since 2×105414013553² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105414013153) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52707006776 + 52707006777.

It is an arithmetic number, because the mean of its divisors is an integer number (52707006777).

Almost surely, 2^105414013553 is an apocalyptic number.

It is an amenable number.

105414013553 is a deficient number, since it is larger than the sum of its proper divisors (1).

105414013553 is an equidigital number, since it uses as much as digits as its factorization.

105414013553 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18000, while the sum is 32.

The spelling of 105414013553 in words is "one hundred five billion, four hundred fourteen million, thirteen thousand, five hundred fifty-three".