105325011432 has 96 divisors (see below), whose sum is σ = 291432098880. Its totient is φ = 34355059200.

The previous prime is 105325011431. The next prime is 105325011437. The reversal of 105325011432 is 234110523501.

105325011432 is a `hidden beast` number, since 10 + 5 + 3 + 2 + 501 + 143 + 2 = 666.

It is a super-2 number, since 2×105325011432² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105325011396 and 105325011405.

It is not an unprimeable number, because it can be changed into a prime (105325011431) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 656128 + ... + 800720.

It is an arithmetic number, because the mean of its divisors is an integer number (3035751030).

Almost surely, 2^105325011432 is an apocalyptic number.

105325011432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105325011432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145716049440).

105325011432 is an abundant number, since it is smaller than the sum of its proper divisors (186107087448).

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

105325011432 is a wasteful number, since it uses less digits than its factorization.

105325011432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144823 (or 144816 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 105325011432 its reverse (234110523501), we get a palindrome (339435534933).

The spelling of 105325011432 in words is "one hundred five billion, three hundred twenty-five million, eleven thousand, four hundred thirty-two".