102829629 has 16 divisors (see below), whose sum is σ = 157893120. Its totient is φ = 58309680.

The previous prime is 102829609. The next prime is 102829631. The reversal of 102829629 is 926928201.

It is not a de Polignac number, because 102829629 - 2⁹ = 102829117 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102829609) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15939 + ... + 21440.

It is an arithmetic number, because the mean of its divisors is an integer number (9868320).

Almost surely, 2^102829629 is an apocalyptic number.

It is an amenable number.

102829629 is a deficient number, since it is larger than the sum of its proper divisors (55063491).

102829629 is a wasteful number, since it uses less digits than its factorization.

102829629 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37520.

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 102829629 is about 10140.4945145688. The cubic root of 102829629 is about 468.4962183249.

The spelling of 102829629 in words is "one hundred two million, eight hundred twenty-nine thousand, six hundred twenty-nine".