102078144 has 280 divisors, whose sum is σ = 361431840. Its totient is φ = 27869184.

The previous prime is 102078143. The next prime is 102078161. The reversal of 102078144 is 441870201.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (102078143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1052304 + ... + 1052400.

It is an arithmetic number, because the mean of its divisors is an integer number (1290828).

Almost surely, 2^102078144 is an apocalyptic number.

102078144 is a gapful number since it is divisible by the number (14) 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 102078144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180715920).

102078144 is an abundant number, since it is smaller than the sum of its proper divisors (259353696).

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

102078144 is an equidigital number, since it uses as much as digits as its factorization.

102078144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 102078144 is about 10103.3729021550. The cubic root of 102078144 is about 467.3521608276.

The spelling of 102078144 in words is "one hundred two million, seventy-eight thousand, one hundred forty-four".