105379485369 has 16 divisors (see below), whose sum is σ = 148807331712. Its totient is φ = 66104331008.

The previous prime is 105379485349. The next prime is 105379485413. The reversal of 105379485369 is 963584973501.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105379485369 is a prime.

It is a super-2 number, since 2×105379485369² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (105379485349) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39189 + ... + 460754.

It is an arithmetic number, because the mean of its divisors is an integer number (9300458232).

Almost surely, 2^105379485369 is an apocalyptic number.

It is an amenable number.

105379485369 is a deficient number, since it is larger than the sum of its proper divisors (43427846343).

105379485369 is a wasteful number, since it uses less digits than its factorization.

105379485369 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504096.

The product of its (nonzero) digits is 24494400, while the sum is 60.

The spelling of 105379485369 in words is "one hundred five billion, three hundred seventy-nine million, four hundred eighty-five thousand, three hundred sixty-nine".