102204960 has 192 divisors, whose sum is σ = 378483840. Its totient is φ = 22855680.

The previous prime is 102204953. The next prime is 102205001. The reversal of 102204960 is 69402201.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 102204960.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67896 + ... + 69384.

It is an arithmetic number, because the mean of its divisors is an integer number (1971270).

Almost surely, 2^102204960 is an apocalyptic number.

102204960 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 102204960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189241920).

102204960 is an abundant number, since it is smaller than the sum of its proper divisors (276278880).

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

102204960 is a wasteful number, since it uses less digits than its factorization.

102204960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1531 (or 1523 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 102204960 is about 10109.6468781061. The cubic root of 102204960 is about 467.5456178616.

The spelling of 102204960 in words is "one hundred two million, two hundred four thousand, nine hundred sixty".