105332004000 has 144 divisors (see below), whose sum is σ = 373823409960. Its totient is φ = 28088524800.

The previous prime is 105332003971. The next prime is 105332004013. The reversal of 105332004000 is 400233501.

105332004000 is a `hidden beast` number, since 10 + 53 + 3 + 200 + 400 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 47264499216 + 58067504784 = 217404^2 + 240972^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×105332004000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1426945 + ... + 1498944.

Almost surely, 2^105332004000 is an apocalyptic number.

105332004000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105332004000 is an abundant number, since it is smaller than the sum of its proper divisors (268491405960).

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

105332004000 is a wasteful number, since it uses less digits than its factorization.

105332004000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2925920 (or 2925899 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

Adding to 105332004000 its reverse (400233501), we get a palindrome (105732237501).

The spelling of 105332004000 in words is "one hundred five billion, three hundred thirty-two million, four thousand".