102264120 has 256 divisors, whose sum is σ = 396748800. Its totient is φ = 23234688.

The previous prime is 102264109. The next prime is 102264143. The reversal of 102264120 is 21462201.

102264120 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 641 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 102264093 and 102264102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 612277 + ... + 612443.

It is an arithmetic number, because the mean of its divisors is an integer number (1549800).

Almost surely, 2^102264120 is an apocalyptic number.

102264120 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 102264120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198374400).

102264120 is an abundant number, since it is smaller than the sum of its proper divisors (294484680).

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

102264120 is an equidigital number, since it uses as much as digits as its factorization.

102264120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 102264120 is about 10112.5723730414. The cubic root of 102264120 is about 467.6358113434.

The spelling of 102264120 in words is "one hundred two million, two hundred sixty-four thousand, one hundred twenty".