102829628 has 24 divisors (see below), whose sum is σ = 197344560. Its totient is φ = 46494720.

The previous prime is 102829609. The next prime is 102829631. The reversal of 102829628 is 826928201.

It is a junction number, because it is equal to n+sod(n) for n = 102829591 and 102829600.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 2438 + ... + 14546.

It is an arithmetic number, because the mean of its divisors is an integer number (8222690).

Almost surely, 2^102829628 is an apocalyptic number.

It is an amenable number.

102829628 is a deficient number, since it is larger than the sum of its proper divisors (94514932).

102829628 is a wasteful number, since it uses less digits than its factorization.

102829628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12317 (or 12315 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 38.

The square root of 102829628 is about 10140.4944652615. The cubic root of 102829628 is about 468.4962168063.

The spelling of 102829628 in words is "one hundred two million, eight hundred twenty-nine thousand, six hundred twenty-eight".