103394000 has 80 divisors (see below), whose sum is σ = 264800016. Its totient is φ = 38912000.

The previous prime is 103393987. The next prime is 103394023. The reversal of 103394000 is 493301.

It can be written as a sum of positive squares in 8 ways, for example, as 1948816 + 101445184 = 1396^2 + 10072^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 32480 + ... + 35520.

Almost surely, 2^103394000 is an apocalyptic number.

103394000 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 103394000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132400008).

103394000 is an abundant number, since it is smaller than the sum of its proper divisors (161406016).

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

103394000 is a wasteful number, since it uses less digits than its factorization.

103394000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3081 (or 3065 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

The square root of 103394000 is about 10168.2840243573. The cubic root of 103394000 is about 469.3517545786.

The spelling of 103394000 in words is "one hundred three million, three hundred ninety-four thousand".