10213629 has 8 divisors (see below), whose sum is σ = 13678560. Its totient is φ = 6778896.

The previous prime is 10213603. The next prime is 10213631. The reversal of 10213629 is 92631201.

10213629 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 10213629 - 2⁷ = 10213501 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10213599 and 10213608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10213639) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6747 + ... + 8120.

It is an arithmetic number, because the mean of its divisors is an integer number (1709820).

Almost surely, 2^10213629 is an apocalyptic number.

It is an amenable number.

10213629 is a deficient number, since it is larger than the sum of its proper divisors (3464931).

10213629 is a wasteful number, since it uses less digits than its factorization.

10213629 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15099.

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 10213629 is about 3195.8768749750. The cubic root of 10213629 is about 216.9668378610.

It can be divided in two parts, 102 and 13629, that added together give a palindrome (13731).

The spelling of 10213629 in words is "ten million, two hundred thirteen thousand, six hundred twenty-nine".