102878016 has 112 divisors (see below), whose sum is σ = 295314624. Its totient is φ = 31481856.

The previous prime is 102878003. The next prime is 102878029. The reversal of 102878016 is 610878201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (102878003) and next prime (102878029).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 139986 + ... + 140718.

Almost surely, 2^102878016 is an apocalyptic number.

102878016 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 102878016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147657312).

102878016 is an abundant number, since it is smaller than the sum of its proper divisors (192436608).

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

102878016 is a wasteful number, since it uses less digits than its factorization.

102878016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 808 (or 798 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 33.

The square root of 102878016 is about 10142.8800643604. The cubic root of 102878016 is about 468.5696912204.

The spelling of 102878016 in words is "one hundred two million, eight hundred seventy-eight thousand, sixteen".