105004352032 has 48 divisors (see below), whose sum is σ = 207854942400. Its totient is φ = 52216416000.

The previous prime is 105004352029. The next prime is 105004352069. The reversal of 105004352032 is 230253400501.

It is a super-2 number, since 2×105004352032² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105004351988 and 105004352006.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5685469 + ... + 5703907.

It is an arithmetic number, because the mean of its divisors is an integer number (4330311300).

Almost surely, 2^105004352032 is an apocalyptic number.

It is an amenable number.

105004352032 is a deficient number, since it is larger than the sum of its proper divisors (102850590368).

105004352032 is a wasteful number, since it uses less digits than its factorization.

105004352032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19409 (or 19401 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

Adding to 105004352032 its reverse (230253400501), we get a palindrome (335257752533).

The spelling of 105004352032 in words is "one hundred five billion, four million, three hundred fifty-two thousand, thirty-two".