105349780 has 24 divisors (see below), whose sum is σ = 228372480. Its totient is φ = 40780320.

The previous prime is 105349771. The next prime is 105349793. The reversal of 105349780 is 87943501.

It is a super-2 number, since 2×105349780² = 22197152292096800, which 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 (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 84340 + ... + 85579.

It is an arithmetic number, because the mean of its divisors is an integer number (9515520).

Almost surely, 2^105349780 is an apocalyptic number.

105349780 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105349780 is an abundant number, since it is smaller than the sum of its proper divisors (123022700).

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

105349780 is a wasteful number, since it uses less digits than its factorization.

105349780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169959 (or 169957 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 37.

The square root of 105349780 is about 10264.0040919711. The cubic root of 105349780 is about 472.2926761367.

The spelling of 105349780 in words is "one hundred five million, three hundred forty-nine thousand, seven hundred eighty".