105428782540 has 24 divisors (see below), whose sum is σ = 229034942640. Its totient is φ = 40717322688.

The previous prime is 105428782469. The next prime is 105428782619. The reversal of 105428782540 is 45287824501.

It is a super-2 number, since 2×105428782540² (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, 90886302 + ... + 90887461.

It is an arithmetic number, because the mean of its divisors is an integer number (9543122610).

Almost surely, 2^105428782540 is an apocalyptic number.

105428782540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105428782540 is an abundant number, since it is smaller than the sum of its proper divisors (123606160100).

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

105428782540 is a wasteful number, since it uses less digits than its factorization.

105428782540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181773801 (or 181773799 counting only the distinct ones).

The product of its (nonzero) digits is 716800, while the sum is 46.

The spelling of 105428782540 in words is "one hundred five billion, four hundred twenty-eight million, seven hundred eighty-two thousand, five hundred forty".