102278880 has 216 divisors, whose sum is σ = 384294456. Its totient is φ = 24752640.

The previous prime is 102278879. The next prime is 102278903. The reversal of 102278880 is 88872201.

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

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 173947 + ... + 174533.

It is an arithmetic number, because the mean of its divisors is an integer number (1779141).

Almost surely, 2^102278880 is an apocalyptic number.

102278880 is a gapful number since it is divisible by the number (10) 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 102278880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192147228).

102278880 is an abundant number, since it is smaller than the sum of its proper divisors (282015576).

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

102278880 is a wasteful number, since it uses less digits than its factorization.

102278880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630 (or 608 counting only the distinct ones).

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

The square root of 102278880 is about 10113.3021313516. The cubic root of 102278880 is about 467.6583085546.

The spelling of 102278880 in words is "one hundred two million, two hundred seventy-eight thousand, eight hundred eighty".