102851712 has 192 divisors, whose sum is σ = 322483200. Its totient is φ = 31352832.

The previous prime is 102851711. The next prime is 102851737. The reversal of 102851712 is 217158201.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×102851712² = 21156949322661888, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102851711) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 809793 + ... + 809919.

It is an arithmetic number, because the mean of its divisors is an integer number (1679600).

Almost surely, 2^102851712 is an apocalyptic number.

102851712 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 102851712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161241600).

102851712 is an abundant number, since it is smaller than the sum of its proper divisors (219631488).

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

102851712 is a wasteful number, since it uses less digits than its factorization.

102851712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 27.

The square root of 102851712 is about 10141.5833083400. The cubic root of 102851712 is about 468.5297529575.

The spelling of 102851712 in words is "one hundred two million, eight hundred fifty-one thousand, seven hundred twelve".