103466880 has 384 divisors, whose sum is σ = 412439040. Its totient is φ = 23654400.

The previous prime is 103466873. The next prime is 103466897. The reversal of 103466880 is 88664301.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 1457245 + ... + 1457315.

It is an arithmetic number, because the mean of its divisors is an integer number (1074060).

Almost surely, 2^103466880 is an apocalyptic number.

103466880 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 103466880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206219520).

103466880 is an abundant number, since it is smaller than the sum of its proper divisors (308972160).

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

103466880 is a wasteful number, since it uses less digits than its factorization.

103466880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 103466880 is about 10171.8670852504. The cubic root of 103466880 is about 469.4620070172.

The spelling of 103466880 in words is "one hundred three million, four hundred sixty-six thousand, eight hundred eighty".