102829630 has 16 divisors (see below), whose sum is σ = 185294304. Its totient is φ = 41087200.

The previous prime is 102829609. The next prime is 102829631. The reversal of 102829630 is 36928201.

It is a junction number, because it is equal to n+sod(n) for n = 102829592 and 102829601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102829631) 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, 5055 + ... + 15205.

It is an arithmetic number, because the mean of its divisors is an integer number (11580894).

Almost surely, 2^102829630 is an apocalyptic number.

102829630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102829630 is a deficient number, since it is larger than the sum of its proper divisors (82464674).

102829630 is a wasteful number, since it uses less digits than its factorization.

102829630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11171.

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 102829630 is about 10140.4945638761. The cubic root of 102829630 is about 468.4962198436.

The spelling of 102829630 in words is "one hundred two million, eight hundred twenty-nine thousand, six hundred thirty".