105513001603 has 16 divisors (see below), whose sum is σ = 111169760256. Its totient is φ = 100003943520.

The previous prime is 105513001571. The next prime is 105513001619. The reversal of 105513001603 is 306100315501.

It is a cyclic number.

It is not a de Polignac number, because 105513001603 - 2⁵ = 105513001571 is a prime.

It is a super-2 number, since 2×105513001603² (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 (105513001673) 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, 867976 + ... + 982042.

It is an arithmetic number, because the mean of its divisors is an integer number (6948110016).

Almost surely, 2^105513001603 is an apocalyptic number.

105513001603 is a deficient number, since it is larger than the sum of its proper divisors (5656758653).

105513001603 is a wasteful number, since it uses less digits than its factorization.

105513001603 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114714.

The product of its (nonzero) digits is 1350, while the sum is 25.

The spelling of 105513001603 in words is "one hundred five billion, five hundred thirteen million, one thousand, six hundred three".