10505149460 has 48 divisors (see below), whose sum is σ = 23909216016. Its totient is φ = 3854103552.

The previous prime is 10505149441. The next prime is 10505149477. The reversal of 10505149460 is 6494150501.

It can be written as a sum of positive squares in 8 ways, for example, as 4187125264 + 6318024196 = 64708^2 + 79486^2 .

It is a super-2 number, since 2×10505149460² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10505149460.

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, 87857 + ... + 169496.

It is an arithmetic number, because the mean of its divisors is an integer number (498108667).

Almost surely, 2^10505149460 is an apocalyptic number.

10505149460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10505149460 is an abundant number, since it is smaller than the sum of its proper divisors (13404066556).

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

10505149460 is a wasteful number, since it uses less digits than its factorization.

10505149460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257532 (or 257530 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 35.

Adding to 10505149460 its reverse (6494150501), we get a palindrome (16999299961).

The spelling of 10505149460 in words is "ten billion, five hundred five million, one hundred forty-nine thousand, four hundred sixty".