103294080 has 192 divisors, whose sum is σ = 362793600. Its totient is φ = 27076608.

The previous prime is 103294063. The next prime is 103294099. The reversal of 103294080 is 80492301.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 454927 + ... + 455153.

It is an arithmetic number, because the mean of its divisors is an integer number (1889550).

Almost surely, 2^103294080 is an apocalyptic number.

103294080 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 103294080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181396800).

103294080 is an abundant number, since it is smaller than the sum of its proper divisors (259499520).

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

103294080 is a wasteful number, since it uses less digits than its factorization.

103294080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 103294080 is about 10163.3695199968. The cubic root of 103294080 is about 469.2005119445.

The spelling of 103294080 in words is "one hundred three million, two hundred ninety-four thousand, eighty".