103064000 has 112 divisors (see below), whose sum is σ = 275149056. Its totient is φ = 38016000.

The previous prime is 103063957. The next prime is 103064021. The reversal of 103064000 is 460301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103505 + ... + 104495.

It is an arithmetic number, because the mean of its divisors is an integer number (2456688).

Almost surely, 2^103064000 is an apocalyptic number.

103064000 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 103064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137574528).

103064000 is an abundant number, since it is smaller than the sum of its proper divisors (172085056).

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

103064000 is an equidigital number, since it uses as much as digits as its factorization.

103064000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1031 (or 1011 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 103064000 is about 10152.0441291397. The cubic root of 103064000 is about 468.8518830393.

The spelling of 103064000 in words is "one hundred three million, sixty-four thousand".