105015407232 has 128 divisors (see below), whose sum is σ = 295533576000. Its totient is φ = 32926187520.

The previous prime is 105015407221. The next prime is 105015407269. The reversal of 105015407232 is 232704510501.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×105015407232² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105015407232.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13907394 + ... + 13914942.

Almost surely, 2^105015407232 is an apocalyptic number.

105015407232 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 105015407232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147766788000).

105015407232 is an abundant number, since it is smaller than the sum of its proper divisors (190518168768).

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

105015407232 is a wasteful number, since it uses less digits than its factorization.

105015407232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9714 (or 9702 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

Adding to 105015407232 its reverse (232704510501), we get a palindrome (337719917733).

The spelling of 105015407232 in words is "one hundred five billion, fifteen million, four hundred seven thousand, two hundred thirty-two".