1036105680 has 40 divisors (see below), whose sum is σ = 3211928352. Its totient is φ = 276294784.

The previous prime is 1036105673. The next prime is 1036105687. The reversal of 1036105680 is 865016301.

It is an interprime number because it is at equal distance from previous prime (1036105673) and next prime (1036105687).

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×1036105680³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1036105687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2158314 + ... + 2158793.

Almost surely, 2^1036105680 is an apocalyptic number.

1036105680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1036105680 is an abundant number, since it is smaller than the sum of its proper divisors (2175822672).

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

1036105680 is a wasteful number, since it uses less digits than its factorization.

1036105680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4317123 (or 4317117 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 1036105680 is about 32188.5954959206. The cubic root of 1036105680 is about 1011.8932172895.

The spelling of 1036105680 in words is "one billion, thirty-six million, one hundred five thousand, six hundred eighty".