10985292 has 18 divisors (see below), whose sum is σ = 27768468. Its totient is φ = 3661752.

The previous prime is 10985291. The next prime is 10985297. The reversal of 10985292 is 29258901.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 305147 = 10985292 / (1 + 0 + 9 + 8 + 5 + 2 + 9 + 2).

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (10985291) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 152538 + ... + 152609.

Almost surely, 2^10985292 is an apocalyptic number.

10985292 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10985292 is an abundant number, since it is smaller than the sum of its proper divisors (16783176).

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

10985292 is a wasteful number, since it uses less digits than its factorization.

10985292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305157 (or 305152 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 10985292 is about 3314.4067342437. The cubic root of 10985292 is about 222.2988427270.

The spelling of 10985292 in words is "ten million, nine hundred eighty-five thousand, two hundred ninety-two".