105045826460 has 24 divisors (see below), whose sum is σ = 220748117856. Its totient is φ = 41989400640.

The previous prime is 105045826453. The next prime is 105045826513. The reversal of 105045826460 is 64628540501.

It is a super-2 number, since 2×105045826460² (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 7 ways as a sum of consecutive naturals, for example, 1778336 + ... + 1836455.

It is an arithmetic number, because the mean of its divisors is an integer number (9197838244).

Almost surely, 2^105045826460 is an apocalyptic number.

105045826460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105045826460 is an abundant number, since it is smaller than the sum of its proper divisors (115702291396).

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

105045826460 is a wasteful number, since it uses less digits than its factorization.

105045826460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3616253 (or 3616251 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 41.

The spelling of 105045826460 in words is "one hundred five billion, forty-five million, eight hundred twenty-six thousand, four hundred sixty".