105032766 has 32 divisors (see below), whose sum is σ = 232098048. Its totient is φ = 31518080.

The previous prime is 105032761. The next prime is 105032773. The reversal of 105032766 is 667230501.

It is a super-2 number, since 2×105032766² = 22063763867221512, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105032761) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 20040 + ... + 24731.

It is an arithmetic number, because the mean of its divisors is an integer number (7253064).

Almost surely, 2^105032766 is an apocalyptic number.

105032766 is an abundant number, since it is smaller than the sum of its proper divisors (127065282).

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

105032766 is a wasteful number, since it uses less digits than its factorization.

105032766 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44816.

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 105032766 is about 10248.5494583380. The cubic root of 105032766 is about 471.8184659315.

The spelling of 105032766 in words is "one hundred five million, thirty-two thousand, seven hundred sixty-six".