102029088 has 192 divisors, whose sum is σ = 329978880. Its totient is φ = 26956800.

The previous prime is 102029077. The next prime is 102029093. The reversal of 102029088 is 880920201.

It is a super-2 number, since 2×102029088² = 20819869596223488, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 778783 + ... + 778913.

It is an arithmetic number, because the mean of its divisors is an integer number (1718640).

Almost surely, 2^102029088 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 102029088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164989440).

102029088 is an abundant number, since it is smaller than the sum of its proper divisors (227949792).

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

102029088 is a wasteful number, since it uses less digits than its factorization.

102029088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 102029088 is about 10100.9449062947. The cubic root of 102029088 is about 467.2772832214.

Adding to 102029088 its reverse (880920201), we get a palindrome (982949289).

The spelling of 102029088 in words is "one hundred two million, twenty-nine thousand, eighty-eight".