102829044 has 48 divisors (see below), whose sum is σ = 255725568. Its totient is φ = 32084448.

The previous prime is 102829043. The next prime is 102829079. The reversal of 102829044 is 440928201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102829043) 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, 9009 + ... + 16935.

It is an arithmetic number, because the mean of its divisors is an integer number (5327616).

Almost surely, 2^102829044 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 102829044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127862784).

102829044 is an abundant number, since it is smaller than the sum of its proper divisors (152896524).

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

102829044 is a wasteful number, since it uses less digits than its factorization.

102829044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8004 (or 8002 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 102829044 is about 10140.4656697807. The cubic root of 102829044 is about 468.4953298949.

The spelling of 102829044 in words is "one hundred two million, eight hundred twenty-nine thousand, forty-four".