10109628 has 36 divisors (see below), whose sum is σ = 27059760. Its totient is φ = 3171456.

The previous prime is 10109623. The next prime is 10109647. The reversal of 10109628 is 82690101.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10109623) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 7648 + ... + 8871.

It is an arithmetic number, because the mean of its divisors is an integer number (751660).

Almost surely, 2^10109628 is an apocalyptic number.

10109628 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10109628 is an abundant number, since it is smaller than the sum of its proper divisors (16950132).

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

10109628 is a wasteful number, since it uses less digits than its factorization.

10109628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16546 (or 16541 counting only the distinct ones).

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

The square root of 10109628 is about 3179.5641210707. The cubic root of 10109628 is about 216.2278973256.

Adding to 10109628 its reverse (82690101), we get a palindrome (92799729).

It can be divided in two parts, 101096 and 28, that added together give a square (101124 = 318²).

The spelling of 10109628 in words is "ten million, one hundred nine thousand, six hundred twenty-eight".