10016892 has 48 divisors (see below), whose sum is σ = 26197920. Its totient is φ = 3309696.

The previous prime is 10016837. The next prime is 10016911. The reversal of 10016892 is 29861001.

10016892 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14458 + ... + 15134.

It is an arithmetic number, because the mean of its divisors is an integer number (545790).

Almost surely, 2^10016892 is an apocalyptic number.

10016892 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10016892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13098960).

10016892 is an abundant number, since it is smaller than the sum of its proper divisors (16181028).

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

10016892 is a wasteful number, since it uses less digits than its factorization.

10016892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 827 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 10016892 is about 3164.9473929277. The cubic root of 10016892 is about 215.5647097981.

Adding to 10016892 its reverse (29861001), we get a palindrome (39877893).

The spelling of 10016892 in words is "ten million, sixteen thousand, eight hundred ninety-two".