105438773790 has 96 divisors (see below), whose sum is σ = 327075420960. Its totient is φ = 24100288128.

The previous prime is 105438773789. The next prime is 105438773827. The reversal of 105438773790 is 97377834501.

105438773790 is a `hidden beast` number, since 1 + 0 + 543 + 8 + 7 + 7 + 3 + 7 + 90 = 666.

It is a super-2 number, since 2×105438773790² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3971607 + ... + 3998066.

It is an arithmetic number, because the mean of its divisors is an integer number (3407035635).

Almost surely, 2^105438773790 is an apocalyptic number.

105438773790 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105438773790 is an abundant number, since it is smaller than the sum of its proper divisors (221636647170).

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

105438773790 is a wasteful number, since it uses less digits than its factorization.

105438773790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7969703 (or 7969690 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 54.

The spelling of 105438773790 in words is "one hundred five billion, four hundred thirty-eight million, seven hundred seventy-three thousand, seven hundred ninety".