102978 has 16 divisors (see below), whose sum is σ = 228960. Its totient is φ = 34308.

The previous prime is 102967. The next prime is 102983. The reversal of 102978 is 879201.

102978 is nontrivially palindromic in base 11.

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

It is a Curzon number.

It is an unprimeable number.

102978 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 900 + ... + 1007.

It is an arithmetic number, because the mean of its divisors is an integer number (14310).

2¹⁰²⁹⁷⁸ is an apocalyptic number.

102978 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

102978 is an abundant number, since it is smaller than the sum of its proper divisors (125982).

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

102978 is a wasteful number, since it uses less digits than its factorization.

102978 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1918 (or 1912 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 102978 is about 320.9018541548. The cubic root of 102978 is about 46.8721438260.

The spelling of 102978 in words is "one hundred two thousand, nine hundred seventy-eight".