102829824 has 252 divisors, whose sum is σ = 335113800. Its totient is φ = 31352832.

The previous prime is 102829777. The next prime is 102829829. The reversal of 102829824 is 428928201.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102829829) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 3545842 + ... + 3545870.

Almost surely, 2^102829824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102829824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167556900).

102829824 is an abundant number, since it is smaller than the sum of its proper divisors (232283976).

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

102829824 is an frugal number, since it uses more digits than its factorization.

102829824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 102829824 is about 10140.5041294800. The cubic root of 102829824 is about 468.4965144676.

The spelling of 102829824 in words is "one hundred two million, eight hundred twenty-nine thousand, eight hundred twenty-four".