102261320 has 64 divisors (see below), whose sum is σ = 266613120. Its totient is φ = 34573824.

The previous prime is 102261317. The next prime is 102261323. The reversal of 102261320 is 23162201.

It is an interprime number because it is at equal distance from previous prime (102261317) and next prime (102261323).

It is not an unprimeable number, because it can be changed into a prime (102261323) 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, 17939 + ... + 22941.

It is an arithmetic number, because the mean of its divisors is an integer number (4165830).

Almost surely, 2^102261320 is an apocalyptic number.

102261320 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 102261320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133306560).

102261320 is an abundant number, since it is smaller than the sum of its proper divisors (164351800).

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

102261320 is a wasteful number, since it uses less digits than its factorization.

102261320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5094 (or 5090 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 102261320 is about 10112.4339305629. The cubic root of 102261320 is about 467.6315433355.

The spelling of 102261320 in words is "one hundred two million, two hundred sixty-one thousand, three hundred twenty".