102578112 has 336 divisors, whose sum is σ = 384616960. Its totient is φ = 25380864.

The previous prime is 102578089. The next prime is 102578141. The reversal of 102578112 is 211875201.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×102578112² = 21044538122969088, which contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 995853 + ... + 995955.

Almost surely, 2^102578112 is an apocalyptic number.

102578112 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 102578112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192308480).

102578112 is an abundant number, since it is smaller than the sum of its proper divisors (282038848).

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

102578112 is a wasteful number, since it uses less digits than its factorization.

102578112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 147 counting only the distinct ones).

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

The square root of 102578112 is about 10128.0853076976. The cubic root of 102578112 is about 468.1139323754.

The spelling of 102578112 in words is "one hundred two million, five hundred seventy-eight thousand, one hundred twelve".