10114416 has 80 divisors (see below), whose sum is σ = 31282720. Its totient is φ = 3110400.

The previous prime is 10114409. The next prime is 10114453. The reversal of 10114416 is 61441101.

It is a super-2 number, since 2×10114416² = 204602822042112, which contains 22 as substring.

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

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 4716 + ... + 6516.

It is an arithmetic number, because the mean of its divisors is an integer number (391034).

Almost surely, 2^10114416 is an apocalyptic number.

10114416 is a gapful number since it is divisible by the number (16) 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 10114416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15641360).

10114416 is an abundant number, since it is smaller than the sum of its proper divisors (21168304).

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

10114416 is a wasteful number, since it uses less digits than its factorization.

10114416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1831 (or 1819 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 10114416 is about 3180.3169653354. The cubic root of 10114416 is about 216.2620276870.

Adding to 10114416 its reverse (61441101), we get a palindrome (71555517).

The spelling of 10114416 in words is "ten million, one hundred fourteen thousand, four hundred sixteen".