102029328 has 80 divisors (see below), whose sum is σ = 295834240. Its totient is φ = 33664896.

The previous prime is 102029321. The next prime is 102029351. The reversal of 102029328 is 823920201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (102029321) 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, 43350 + ... + 45642.

It is an arithmetic number, because the mean of its divisors is an integer number (3697928).

Almost surely, 2^102029328 is an apocalyptic number.

102029328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102029328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147917120).

102029328 is an abundant number, since it is smaller than the sum of its proper divisors (193804912).

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

102029328 is a wasteful number, since it uses less digits than its factorization.

102029328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2413 (or 2401 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 102029328 is about 10100.9567863643. The cubic root of 102029328 is about 467.2776496086.

Adding to 102029328 its reverse (823920201), we get a palindrome (925949529).

The spelling of 102029328 in words is "one hundred two million, twenty-nine thousand, three hundred twenty-eight".