105823078083590 has 128 divisors (see below), whose sum is σ = 229625283041280. Its totient is φ = 34301453875200.

The previous prime is 105823078083587. The next prime is 105823078083599. The reversal of 105823078083590 is 95380870328501.

It is a super-2 number, since 2×105823078083590² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105823078083599) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3880411655 + ... + 3880438925.

It is an arithmetic number, because the mean of its divisors is an integer number (1793947523760).

Almost surely, 2^{105823078083590} is an apocalyptic number.

105823078083590 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105823078083590 is an abundant number, since it is smaller than the sum of its proper divisors (123802204957690).

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

105823078083590 is a wasteful number, since it uses less digits than its factorization.

105823078083590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33238.

The product of its (nonzero) digits is 14515200, while the sum is 59.

The spelling of 105823078083590 in words is "one hundred five trillion, eight hundred twenty-three billion, seventy-eight million, eighty-three thousand, five hundred ninety".