102466820 has 48 divisors (see below), whose sum is σ = 230646528. Its totient is φ = 38100480.

The previous prime is 102466799. The next prime is 102466841. The reversal of 102466820 is 28664201.

It is an interprime number because it is at equal distance from previous prime (102466799) and next prime (102466841).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26405 + ... + 30035.

It is an arithmetic number, because the mean of its divisors is an integer number (4805136).

Almost surely, 2^102466820 is an apocalyptic number.

102466820 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 102466820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115323264).

102466820 is an abundant number, since it is smaller than the sum of its proper divisors (128179708).

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

102466820 is a wasteful number, since it uses less digits than its factorization.

102466820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3740 (or 3738 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 102466820 is about 10122.5895896258. The cubic root of 102466820 is about 467.9445778965.

The spelling of 102466820 in words is "one hundred two million, four hundred sixty-six thousand, eight hundred twenty".