102878208 has 132 divisors (see below), whose sum is σ = 309752040. Its totient is φ = 33730560.

The previous prime is 102878197. The next prime is 102878221. The reversal of 102878208 is 802878201.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1686498 + ... + 1686558.

Almost surely, 2^102878208 is an apocalyptic number.

102878208 is a gapful number since it is divisible by the number (18) 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 102878208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154876020).

102878208 is an abundant number, since it is smaller than the sum of its proper divisors (206873832).

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

102878208 is an frugal number, since it uses more digits than its factorization.

102878208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 102878208 is about 10142.8895291233. The cubic root of 102878208 is about 468.5699827156.

The spelling of 102878208 in words is "one hundred two million, eight hundred seventy-eight thousand, two hundred eight".