105050032240 has 80 divisors (see below), whose sum is σ = 249026436288. Its totient is φ = 41197897728.

The previous prime is 105050032207. The next prime is 105050032253. The reversal of 105050032240 is 42230050501.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×105050032240² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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, 6534292 + ... + 6550348.

Almost surely, 2^105050032240 is an apocalyptic number.

105050032240 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 105050032240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124513218144).

105050032240 is an abundant number, since it is smaller than the sum of its proper divisors (143976404048).

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

105050032240 is a wasteful number, since it uses less digits than its factorization.

105050032240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17666 (or 17660 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

Adding to 105050032240 its reverse (42230050501), we get a palindrome (147280082741).

The spelling of 105050032240 in words is "one hundred five billion, fifty million, thirty-two thousand, two hundred forty".