102854112 has 48 divisors (see below), whose sum is σ = 274038912. Its totient is φ = 33770880.

The previous prime is 102854077. The next prime is 102854159. The reversal of 102854112 is 211458201.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1564 + ... + 14427.

It is an arithmetic number, because the mean of its divisors is an integer number (5709144).

Almost surely, 2^102854112 is an apocalyptic number.

102854112 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 102854112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137019456).

102854112 is an abundant number, since it is smaller than the sum of its proper divisors (171184800).

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

102854112 is a wasteful number, since it uses less digits than its factorization.

102854112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16071 (or 16063 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

The square root of 102854112 is about 10141.7016323692. The cubic root of 102854112 is about 468.5333972419.

The spelling of 102854112 in words is "one hundred two million, eight hundred fifty-four thousand, one hundred twelve".