102858320 has 40 divisors (see below), whose sum is σ = 239750280. Its totient is φ = 41039360.

The previous prime is 102858317. The next prime is 102858359. The reversal of 102858320 is 23858201.

It can be written as a sum of positive squares in 4 ways, for example, as 8690704 + 94167616 = 2948^2 + 9704^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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, 35486 + ... + 38274.

It is an arithmetic number, because the mean of its divisors is an integer number (5993757).

Almost surely, 2^102858320 is an apocalyptic number.

102858320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102858320 is an abundant number, since it is smaller than the sum of its proper divisors (136891960).

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

102858320 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (102858319) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (3257).

102858320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3263 (or 3257 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

The square root of 102858320 is about 10141.9090905016. The cubic root of 102858320 is about 468.5397867503.

The spelling of 102858320 in words is "one hundred two million, eight hundred fifty-eight thousand, three hundred twenty".