102845376 has 168 divisors, whose sum is σ = 324520560. Its totient is φ = 32182272.

The previous prime is 102845363. The next prime is 102845377. The reversal of 102845376 is 673548201.

102845376 is a `hidden beast` number, since 1 + 0 + 284 + 5 + 376 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 102845376.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102845377) 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, 264190 + ... + 264578.

It is an arithmetic number, because the mean of its divisors is an integer number (1931670).

Almost surely, 2^102845376 is an apocalyptic number.

102845376 is a gapful number since it is divisible by the number (16) 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 102845376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162260280).

102845376 is an abundant number, since it is smaller than the sum of its proper divisors (221675184).

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

102845376 is an equidigital number, since it uses as much as digits as its factorization.

102845376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 102845376 is about 10141.2709262695. The cubic root of 102845376 is about 468.5201317744.

The spelling of 102845376 in words is "one hundred two million, eight hundred forty-five thousand, three hundred seventy-six".