105342601553 has 16 divisors (see below), whose sum is σ = 125647220736. Its totient is φ = 86353230480.

The previous prime is 105342601513. The next prime is 105342601561. The reversal of 105342601553 is 355106243501.

It is a cyclic number.

It is not a de Polignac number, because 105342601553 - 2²⁰ = 105341552977 is a prime.

It is a super-2 number, since 2×105342601553² (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 (105342601513) 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, 956108 + ... + 1060578.

It is an arithmetic number, because the mean of its divisors is an integer number (7852951296).

Almost surely, 2^105342601553 is an apocalyptic number.

It is an amenable number.

105342601553 is a deficient number, since it is larger than the sum of its proper divisors (20304619183).

105342601553 is a wasteful number, since it uses less digits than its factorization.

105342601553 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110764.

The product of its (nonzero) digits is 54000, while the sum is 35.

The spelling of 105342601553 in words is "one hundred five billion, three hundred forty-two million, six hundred one thousand, five hundred fifty-three".