105524211132 has 48 divisors (see below), whose sum is σ = 277044364800. Its totient is φ = 34729484400.

The previous prime is 105524211119. The next prime is 105524211137. The reversal of 105524211132 is 231112425501.

It is a happy number.

105524211132 is a `hidden beast` number, since 1 + 0 + 5 + 524 + 2 + 1 + 1 + 132 = 666.

It is a super-2 number, since 2×105524211132² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 105524211096 and 105524211105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105524211137) 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, 6175494 + ... + 6192557.

It is an arithmetic number, because the mean of its divisors is an integer number (5771757600).

Almost surely, 2^105524211132 is an apocalyptic number.

105524211132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105524211132 is an abundant number, since it is smaller than the sum of its proper divisors (171520153668).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105524211132 is a wasteful number, since it uses less digits than its factorization.

105524211132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12368143 (or 12368135 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 105524211132 its reverse (231112425501), we get a palindrome (336636636633).

The spelling of 105524211132 in words is "one hundred five billion, five hundred twenty-four million, two hundred eleven thousand, one hundred thirty-two".