10842016 has 24 divisors (see below), whose sum is σ = 22274784. Its totient is φ = 5184960.

The previous prime is 10842001. The next prime is 10842019. The reversal of 10842016 is 61024801.

10842016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (10842019) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6630 + ... + 8101.

It is an arithmetic number, because the mean of its divisors is an integer number (928116).

Almost surely, 2^10842016 is an apocalyptic number.

10842016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10842016 is the 2083-rd centered pentagonal number.

It is an amenable number.

10842016 is an abundant number, since it is smaller than the sum of its proper divisors (11432768).

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

10842016 is a wasteful number, since it uses less digits than its factorization.

10842016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14764 (or 14756 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 10842016 is about 3292.7216705941. The cubic root of 10842016 is about 221.3281639411.

Adding to 10842016 its reverse (61024801), we get a palindrome (71866817).

It can be divided in two parts, 108 and 42016, that added together give a palindrome (42124).

The spelling of 10842016 in words is "ten million, eight hundred forty-two thousand, sixteen".