105286920724435 has 16 divisors (see below), whose sum is σ = 127149857240832. Its totient is φ = 83692508515200.

The previous prime is 105286920724421. The next prime is 105286920724451. The reversal of 105286920724435 is 534427029682501.

It is not a de Polignac number, because 105286920724435 - 2²⁹ = 105286383853523 is a prime.

It is a super-2 number, since 2×105286920724435² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 105286920724435.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 161747070 + ... + 162396700.

It is an arithmetic number, because the mean of its divisors is an integer number (7946866077552).

It is a 1-persistent number, because it is pandigital, but 2⋅105286920724435 = 210573841448870 is not.

Almost surely, 2^{105286920724435} is an apocalyptic number.

105286920724435 is a deficient number, since it is larger than the sum of its proper divisors (21862936516397).

105286920724435 is a wasteful number, since it uses less digits than its factorization.

105286920724435 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 856254.

The product of its (nonzero) digits is 29030400, while the sum is 58.

The spelling of 105286920724435 in words is "one hundred five trillion, two hundred eighty-six billion, nine hundred twenty million, seven hundred twenty-four thousand, four hundred thirty-five".