102264156 has 72 divisors (see below), whose sum is σ = 273553280. Its totient is φ = 32122656.

The previous prime is 102264143. The next prime is 102264193. The reversal of 102264156 is 651462201.

102264156 is a `hidden beast` number, since 10 + 2 + 2 + 641 + 5 + 6 = 666.

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, 209745 + ... + 210231.

Almost surely, 2^102264156 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102264156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136776640).

102264156 is an abundant number, since it is smaller than the sum of its proper divisors (171289124).

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

102264156 is a wasteful number, since it uses less digits than its factorization.

102264156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 823 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 102264156 is about 10112.5741530038. The cubic root of 102264156 is about 467.6358662173.

The spelling of 102264156 in words is "one hundred two million, two hundred sixty-four thousand, one hundred fifty-six".