102229920 has 288 divisors, whose sum is σ = 387459072. Its totient is φ = 24385536.

The previous prime is 102229903. The next prime is 102229957. The reversal of 102229920 is 29922201.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 804897 + ... + 805023.

It is an arithmetic number, because the mean of its divisors is an integer number (1345344).

Almost surely, 2^102229920 is an apocalyptic number.

102229920 is a gapful number since it is divisible by the number (10) 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 102229920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193729536).

102229920 is an abundant number, since it is smaller than the sum of its proper divisors (285229152).

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

102229920 is a wasteful number, since it uses less digits than its factorization.

102229920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 102229920 is about 10110.8812672289. The cubic root of 102229920 is about 467.5836753387.

The spelling of 102229920 in words is "one hundred two million, two hundred twenty-nine thousand, nine hundred twenty".