105006046480 has 40 divisors (see below), whose sum is σ = 248745465432. Its totient is φ = 41209918464.

The previous prime is 105006046459. The next prime is 105006046517. The reversal of 105006046480 is 84640600501.

It can be written as a sum of positive squares in 4 ways, for example, as 24477228304 + 80528818176 = 156452^2 + 283776^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×105006046480² (a number of 23 digits) contains 22 as substring.

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, 12378549 + ... + 12387028.

Almost surely, 2^105006046480 is an apocalyptic number.

105006046480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105006046480 is an abundant number, since it is smaller than the sum of its proper divisors (143739418952).

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

105006046480 is a wasteful number, since it uses less digits than its factorization.

105006046480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24765643 (or 24765637 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

Adding to 105006046480 its reverse (84640600501), we get a palindrome (189646646981).

The spelling of 105006046480 in words is "one hundred five billion, six million, forty-six thousand, four hundred eighty".