10149216 has 96 divisors (see below), whose sum is σ = 33239808. Its totient is φ = 2634240.

The previous prime is 10149203. The next prime is 10149257. The reversal of 10149216 is 61294101.

10149216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

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

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, 6706 + ... + 8078.

It is an arithmetic number, because the mean of its divisors is an integer number (346248).

Almost surely, 2^10149216 is an apocalyptic number.

10149216 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 10149216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16619904).

10149216 is an abundant number, since it is smaller than the sum of its proper divisors (23090592).

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

10149216 is a wasteful number, since it uses less digits than its factorization.

10149216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1404 (or 1396 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 10149216 is about 3185.7834201339. The cubic root of 10149216 is about 216.5097699101.

The spelling of 10149216 in words is "ten million, one hundred forty-nine thousand, two hundred sixteen".