10900791 has 48 divisors (see below), whose sum is σ = 18862080. Its totient is φ = 6168960.

The previous prime is 10900787. The next prime is 10900807. The reversal of 10900791 is 19700901.

It is not a de Polignac number, because 10900791 - 2² = 10900787 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10900741) 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 47 ways as a sum of consecutive naturals, for example, 85770 + ... + 85896.

It is an arithmetic number, because the mean of its divisors is an integer number (392960).

Almost surely, 2^10900791 is an apocalyptic number.

10900791 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10900791 is a deficient number, since it is larger than the sum of its proper divisors (7961289).

10900791 is a wasteful number, since it uses less digits than its factorization.

10900791 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 567, while the sum is 27.

The square root of 10900791 is about 3301.6345951665. The cubic root of 10900791 is about 221.7273863345.

The spelling of 10900791 in words is "ten million, nine hundred thousand, seven hundred ninety-one".