105834769153 has 16 divisors (see below), whose sum is σ = 111594921984. Its totient is φ = 100260599040.

The previous prime is 105834769151. The next prime is 105834769177. The reversal of 105834769153 is 351967438501.

It is a cyclic number.

It is not a de Polignac number, because 105834769153 - 2¹ = 105834769151 is a prime.

It is a super-2 number, since 2×105834769153² (a number of 23 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 105834769153.

It is not an unprimeable number, because it can be changed into a prime (105834769151) 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, 28501 + ... + 460957.

It is an arithmetic number, because the mean of its divisors is an integer number (6974682624).

Almost surely, 2^105834769153 is an apocalyptic number.

It is an amenable number.

105834769153 is a deficient number, since it is larger than the sum of its proper divisors (5760152831).

105834769153 is a wasteful number, since it uses less digits than its factorization.

105834769153 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432672.

The product of its (nonzero) digits is 2721600, while the sum is 52.

The spelling of 105834769153 in words is "one hundred five billion, eight hundred thirty-four million, seven hundred sixty-nine thousand, one hundred fifty-three".