105529925501 has 72 divisors (see below), whose sum is σ = 145675173600. Its totient is φ = 75559236480.

The previous prime is 105529925489. The next prime is 105529925503.

105529925501 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2^k-105529925501 is a prime.

It is a super-2 number, since 2×105529925501² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105529925503) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 20857310 + ... + 20862368.

It is an arithmetic number, because the mean of its divisors is an integer number (2023266300).

Almost surely, 2^105529925501 is an apocalyptic number.

105529925501 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

105529925501 is a deficient number, since it is larger than the sum of its proper divisors (40145248099).

105529925501 is a wasteful number, since it uses less digits than its factorization.

105529925501 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5339 (or 5319 counting only the distinct ones).

The product of its (nonzero) digits is 202500, while the sum is 44.

The spelling of 105529925501 in words is "one hundred five billion, five hundred twenty-nine million, nine hundred twenty-five thousand, five hundred one".