102369960 has 256 divisors, whose sum is σ = 425779200. Its totient is φ = 21254400.

The previous prime is 102369947. The next prime is 102369961. The reversal of 102369960 is 69963201.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (102369961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 82545 + ... + 83775.

It is an arithmetic number, because the mean of its divisors is an integer number (1663200).

Almost surely, 2^102369960 is an apocalyptic number.

102369960 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 102369960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212889600).

102369960 is an abundant number, since it is smaller than the sum of its proper divisors (323409240).

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

102369960 is a wasteful number, since it uses less digits than its factorization.

102369960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1269 (or 1259 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 102369960 is about 10117.8041095882. The cubic root of 102369960 is about 467.7970849455.

The spelling of 102369960 in words is "one hundred two million, three hundred sixty-nine thousand, nine hundred sixty".