105332240000 has 160 divisors (see below), whose sum is σ = 282391433940. Its totient is φ = 38891520000.

The previous prime is 105332239997. The next prime is 105332240051. The reversal of 105332240000 is 42233501.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 54505439296 + 50826800704 = 233464^2 + 225448^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×105332240000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 989360 + ... + 1090640.

Almost surely, 2^105332240000 is an apocalyptic number.

105332240000 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 105332240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141195716970).

105332240000 is an abundant number, since it is smaller than the sum of its proper divisors (177059193940).

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

105332240000 is an equidigital number, since it uses as much as digits as its factorization.

105332240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101328 (or 101301 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

Adding to 105332240000 its reverse (42233501), we get a palindrome (105374473501).

The spelling of 105332240000 in words is "one hundred five billion, three hundred thirty-two million, two hundred forty thousand".