102266460 has 72 divisors (see below), whose sum is σ = 312648336. Its totient is φ = 27056640.

The previous prime is 102266449. The next prime is 102266471. The reversal of 102266460 is 64662201.

It is a happy number.

102266460 is a `hidden beast` number, since 10 + 2 + 2 + 6 + 646 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (102266449) and next prime (102266471).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21412 + ... + 25748.

It is an arithmetic number, because the mean of its divisors is an integer number (4342338).

Almost surely, 2^102266460 is an apocalyptic number.

102266460 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 102266460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156324168).

102266460 is an abundant number, since it is smaller than the sum of its proper divisors (210381876).

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

102266460 is a wasteful number, since it uses less digits than its factorization.

102266460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4483 (or 4478 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 102266460 is about 10112.6880699446. The cubic root of 102266460 is about 467.6393781188.

The spelling of 102266460 in words is "one hundred two million, two hundred sixty-six thousand, four hundred sixty".