105031432320 has 384 divisors, whose sum is σ = 355455475200. Its totient is φ = 26351861760.

The previous prime is 105031432313. The next prime is 105031432349. The reversal of 105031432320 is 23234130501.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×105031432320² (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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 81482236 + ... + 81483524.

It is an arithmetic number, because the mean of its divisors is an integer number (925665300).

Almost surely, 2^105031432320 is an apocalyptic number.

105031432320 is a gapful number since it is divisible by the number (10) 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 105031432320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177727737600).

105031432320 is an abundant number, since it is smaller than the sum of its proper divisors (250424042880).

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

105031432320 is a wasteful number, since it uses less digits than its factorization.

105031432320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1416 (or 1367 counting only the distinct ones).

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

Adding to 105031432320 its reverse (23234130501), we get a palindrome (128265562821).

The spelling of 105031432320 in words is "one hundred five billion, thirty-one million, four hundred thirty-two thousand, three hundred twenty".