10091016 has 48 divisors (see below), whose sum is σ = 29434860. Its totient is φ = 3104640.

The previous prime is 10090999. The next prime is 10091021. The reversal of 10091016 is 61019001.

It can be written as a sum of positive squares in 2 ways, for example, as 9180900 + 910116 = 3030^2 + 954^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 10091016.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 4455 + ... + 6326.

Almost surely, 2^10091016 is an apocalyptic number.

It is an amenable number.

10091016 is an abundant number, since it is smaller than the sum of its proper divisors (19343844).

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

10091016 is a wasteful number, since it uses less digits than its factorization.

10091016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10806 (or 10799 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

The square root of 10091016 is about 3176.6359564797. The cubic root of 10091016 is about 216.0951227125.

It can be divided in two parts, 1009 and 1016, that added together give a square (2025 = 45²).

The spelling of 10091016 in words is "ten million, ninety-one thousand, sixteen".