105032111132000 has 96 divisors (see below), whose sum is σ = 277914966192864. Its totient is φ = 38781087168000.

The previous prime is 105032111131951. The next prime is 105032111132021. The reversal of 105032111132000 is 231111230501.

It is a super-2 number, since 2×105032111132000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1009872146 + ... + 1009976145.

It is an arithmetic number, because the mean of its divisors is an integer number (2894947564509).

Almost surely, 2^{105032111132000} is an apocalyptic number.

105032111132000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105032111132000 is an abundant number, since it is smaller than the sum of its proper divisors (172882855060864).

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

105032111132000 is a wasteful number, since it uses less digits than its factorization.

105032111132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2019848329 (or 2019848311 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 20.

Adding to 105032111132000 its reverse (231111230501), we get a palindrome (105263222362501).

The spelling of 105032111132000 in words is "one hundred five trillion, thirty-two billion, one hundred eleven million, one hundred thirty-two thousand".