105087770 has 32 divisors (see below), whose sum is σ = 198436608. Its totient is φ = 40022208.

The previous prime is 105087769. The next prime is 105087779. The reversal of 105087770 is 77780501.

It is a super-2 number, since 2×105087770² = 22086878807145800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105087770.

It is not an unprimeable number, because it can be changed into a prime (105087779) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 14369 + ... + 20411.

It is an arithmetic number, because the mean of its divisors is an integer number (6201144).

Almost surely, 2^105087770 is an apocalyptic number.

105087770 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105087770 is a deficient number, since it is larger than the sum of its proper divisors (93348838).

105087770 is a wasteful number, since it uses less digits than its factorization.

105087770 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6134.

The product of its (nonzero) digits is 13720, while the sum is 35.

The square root of 105087770 is about 10251.2326088134. The cubic root of 105087770 is about 471.9008128505.

The spelling of 105087770 in words is "one hundred five million, eighty-seven thousand, seven hundred seventy".