102855312 has 240 divisors, whose sum is σ = 354530880. Its totient is φ = 28449792.

The previous prime is 102855307. The next prime is 102855329. The reversal of 102855312 is 213558201.

It is a happy number.

102855312 is a `hidden beast` number, since 102 + 8 + 553 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 910168 + ... + 910280.

It is an arithmetic number, because the mean of its divisors is an integer number (1477212).

Almost surely, 2^102855312 is an apocalyptic number.

102855312 is a gapful number since it is divisible by the number (12) 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 102855312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177265440).

102855312 is an abundant number, since it is smaller than the sum of its proper divisors (251675568).

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

102855312 is a wasteful number, since it uses less digits than its factorization.

102855312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 102855312 is about 10141.7607938661. The cubic root of 102855312 is about 468.5352193628.

The spelling of 102855312 in words is "one hundred two million, eight hundred fifty-five thousand, three hundred twelve".