105526332461 has 16 divisors (see below), whose sum is σ = 115715763648. Its totient is φ = 95437372800.

The previous prime is 105526332433. The next prime is 105526332487. The reversal of 105526332461 is 164233625501.

It is a de Polignac number, because none of the positive numbers 2^k-105526332461 is a prime.

It is a super-2 number, since 2×105526332461² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105526334461) 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, 1893251 + ... + 1948191.

It is an arithmetic number, because the mean of its divisors is an integer number (7232235228).

Almost surely, 2^105526332461 is an apocalyptic number.

105526332461 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

105526332461 is a deficient number, since it is larger than the sum of its proper divisors (10189431187).

105526332461 is a wasteful number, since it uses less digits than its factorization.

105526332461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55852.

The product of its (nonzero) digits is 129600, while the sum is 38.

Adding to 105526332461 its reverse (164233625501), we get a palindrome (269759957962).

The spelling of 105526332461 in words is "one hundred five billion, five hundred twenty-six million, three hundred thirty-two thousand, four hundred sixty-one".