105301034399 has 16 divisors (see below), whose sum is σ = 116069981184. Its totient is φ = 94732404000.

The previous prime is 105301034291. The next prime is 105301034417. The reversal of 105301034399 is 993430103501.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105301034399 is a prime.

It is a super-2 number, since 2×105301034399² (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 (105301037399) 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, 2269022 + ... + 2314964.

It is an arithmetic number, because the mean of its divisors is an integer number (7254373824).

Almost surely, 2^105301034399 is an apocalyptic number.

105301034399 is a deficient number, since it is larger than the sum of its proper divisors (10768946785).

105301034399 is a wasteful number, since it uses less digits than its factorization.

105301034399 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48118.

The product of its (nonzero) digits is 43740, while the sum is 38.

The spelling of 105301034399 in words is "one hundred five billion, three hundred one million, thirty-four thousand, three hundred ninety-nine".