105413032032 has 384 divisors, whose sum is σ = 357073920000. Its totient is φ = 26987788800.

The previous prime is 105413032019. The next prime is 105413032037. The reversal of 105413032032 is 230230314501.

It is a super-2 number, since 2×105413032032² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 105413031993 and 105413032011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105413032037) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25714719 + ... + 25718817.

It is an arithmetic number, because the mean of its divisors is an integer number (929880000).

Almost surely, 2^105413032032 is an apocalyptic number.

105413032032 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 105413032032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178536960000).

105413032032 is an abundant number, since it is smaller than the sum of its proper divisors (251660887968).

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

105413032032 is a wasteful number, since it uses less digits than its factorization.

105413032032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4215 (or 4193 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

Adding to 105413032032 its reverse (230230314501), we get a palindrome (335643346533).

The spelling of 105413032032 in words is "one hundred five billion, four hundred thirteen million, thirty-two thousand, thirty-two".