105112664340 has 48 divisors (see below), whose sum is σ = 302269938432. Its totient is φ = 27272474496.

The previous prime is 105112664323. The next prime is 105112664353. The reversal of 105112664340 is 43466211501.

It is a super-2 number, since 2×105112664340² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23671804 + ... + 23676243.

It is an arithmetic number, because the mean of its divisors is an integer number (6297290384).

Almost surely, 2^105112664340 is an apocalyptic number.

105112664340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105112664340 is an abundant number, since it is smaller than the sum of its proper divisors (197157274092).

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

105112664340 is a wasteful number, since it uses less digits than its factorization.

105112664340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47348096 (or 47348094 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

Adding to 105112664340 its reverse (43466211501), we get a palindrome (148578875841).

The spelling of 105112664340 in words is "one hundred five billion, one hundred twelve million, six hundred sixty-four thousand, three hundred forty".