105413001553 has 16 divisors (see below), whose sum is σ = 106575489216. Its totient is φ = 104258119680.

The previous prime is 105413001539. The next prime is 105413001569. The reversal of 105413001553 is 355100314501.

It is a cyclic number.

It is not a de Polignac number, because 105413001553 - 2³³ = 96823066961 is a prime.

It is a super-2 number, since 2×105413001553² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105413005553) 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, 33773833 + ... + 33776953.

It is an arithmetic number, because the mean of its divisors is an integer number (6660968076).

Almost surely, 2^105413001553 is an apocalyptic number.

It is an amenable number.

105413001553 is a deficient number, since it is larger than the sum of its proper divisors (1162487663).

105413001553 is a wasteful number, since it uses less digits than its factorization.

105413001553 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4224.

The product of its (nonzero) digits is 4500, while the sum is 28.

The spelling of 105413001553 in words is "one hundred five billion, four hundred thirteen million, one thousand, five hundred fifty-three".