105740342028 has 48 divisors (see below), whose sum is σ = 277897012960. Its totient is φ = 34763945472.

The previous prime is 105740341957. The next prime is 105740342047. The reversal of 105740342028 is 820243047501.

It is a happy number.

105740342028 is a `hidden beast` number, since 10 + 574 + 0 + 34 + 20 + 28 = 666.

It is a super-2 number, since 2×105740342028² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 105740341983 and 105740342001.

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, 6698125 + ... + 6713892.

Almost surely, 2^105740342028 is an apocalyptic number.

105740342028 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

105740342028 is an abundant number, since it is smaller than the sum of its proper divisors (172156670932).

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

105740342028 is a wasteful number, since it uses less digits than its factorization.

105740342028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13412103 (or 13412095 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

Adding to 105740342028 its reverse (820243047501), we get a palindrome (925983389529).

The spelling of 105740342028 in words is "one hundred five billion, seven hundred forty million, three hundred forty-two thousand, twenty-eight".