103262880 has 192 divisors, whose sum is σ = 377733888. Its totient is φ = 23224320.

The previous prime is 103262867. The next prime is 103262911. The reversal of 103262880 is 88262301.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 245070 + ... + 245490.

It is an arithmetic number, because the mean of its divisors is an integer number (1967364).

Almost surely, 2^103262880 is an apocalyptic number.

103262880 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 103262880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188866944).

103262880 is an abundant number, since it is smaller than the sum of its proper divisors (274471008).

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

103262880 is a wasteful number, since it uses less digits than its factorization.

103262880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 103262880 is about 10161.8344800533. The cubic root of 103262880 is about 469.1532664807.

The spelling of 103262880 in words is "one hundred three million, two hundred sixty-two thousand, eight hundred eighty".