105542235132 has 24 divisors (see below), whose sum is σ = 246413346816. Its totient is φ = 35159583408.

The previous prime is 105542235119. The next prime is 105542235143. The reversal of 105542235132 is 231532245501.

It is a super-2 number, since 2×105542235132² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105542235093 and 105542235102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2624418 + ... + 2664329.

It is an arithmetic number, because the mean of its divisors is an integer number (10267222784).

Almost surely, 2^105542235132 is an apocalyptic number.

105542235132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105542235132 is an abundant number, since it is smaller than the sum of its proper divisors (140871111684).

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

105542235132 is a wasteful number, since it uses less digits than its factorization.

105542235132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5290417 (or 5290415 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 33.

The spelling of 105542235132 in words is "one hundred five billion, five hundred forty-two million, two hundred thirty-five thousand, one hundred thirty-two".