10195416 has 128 divisors (see below), whose sum is σ = 35366400. Its totient is φ = 2643840.

The previous prime is 10195411. The next prime is 10195421. The reversal of 10195416 is 61459101.

10195416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10195411) and next prime (10195421).

It is a super-3 number, since 3×10195416³ (a number of 22 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10195416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10195411) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16326 + ... + 16938.

It is an arithmetic number, because the mean of its divisors is an integer number (276300).

Almost surely, 2^10195416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10195416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17683200).

10195416 is an abundant number, since it is smaller than the sum of its proper divisors (25170984).

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

10195416 is a wasteful number, since it uses less digits than its factorization.

10195416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 10195416 is about 3193.0261508481. The cubic root of 10195416 is about 216.8377956373.

The spelling of 10195416 in words is "ten million, one hundred ninety-five thousand, four hundred sixteen".