102845820 has 192 divisors, whose sum is σ = 364041216. Its totient is φ = 21073920.

The previous prime is 102845807. The next prime is 102845837. The reversal of 102845820 is 28548201.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 63 ways as a sum of consecutive naturals, for example, 521962 + ... + 522158.

It is an arithmetic number, because the mean of its divisors is an integer number (1896048).

Almost surely, 2^102845820 is an apocalyptic number.

102845820 is a gapful number since it is divisible by the number (10) 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 102845820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182020608).

102845820 is an abundant number, since it is smaller than the sum of its proper divisors (261195396).

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

102845820 is a wasteful number, since it uses less digits than its factorization.

102845820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The square root of 102845820 is about 10141.2928169933. The cubic root of 102845820 is about 468.5208059989.

The spelling of 102845820 in words is "one hundred two million, eight hundred forty-five thousand, eight hundred twenty".