105532100052 has 48 divisors (see below), whose sum is σ = 254215256064. Its totient is φ = 34038540000.

The previous prime is 105532100041. The next prime is 105532100059. The reversal of 105532100052 is 250001235501.

It is a happy number.

It is a super-2 number, since 2×105532100052² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105532099995 and 105532100031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105532100059) 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, 5529927 + ... + 5548977.

It is an arithmetic number, because the mean of its divisors is an integer number (5296151168).

Almost surely, 2^105532100052 is an apocalyptic number.

105532100052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105532100052 is an abundant number, since it is smaller than the sum of its proper divisors (148683156012).

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

105532100052 is a wasteful number, since it uses less digits than its factorization.

105532100052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33980 (or 33978 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 24.

Adding to 105532100052 its reverse (250001235501), we get a palindrome (355533335553).

The spelling of 105532100052 in words is "one hundred five billion, five hundred thirty-two million, one hundred thousand, fifty-two".