1040105677 has 8 divisors (see below), whose sum is σ = 1158738840. Its totient is φ = 926990400.

The previous prime is 1040105663. The next prime is 1040105719. The reversal of 1040105677 is 7765010401.

It can be written as a sum of positive squares in 4 ways, for example, as 34327881 + 1005777796 = 5859^2 + 31714^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1040105677 - 2¹¹ = 1040103629 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1040105617) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1379074 + ... + 1379827.

It is an arithmetic number, because the mean of its divisors is an integer number (144842355).

Almost surely, 2^1040105677 is an apocalyptic number.

It is an amenable number.

1040105677 is a deficient number, since it is larger than the sum of its proper divisors (118633163).

1040105677 is a wasteful number, since it uses less digits than its factorization.

1040105677 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2758943.

The product of its (nonzero) digits is 5880, while the sum is 31.

The square root of 1040105677 is about 32250.6694039054. The cubic root of 1040105677 is about 1013.1937192112.

The spelling of 1040105677 in words is "one billion, forty million, one hundred five thousand, six hundred seventy-seven".