103282000 has 80 divisors (see below), whose sum is σ = 252497232. Its totient is φ = 40857600.

The previous prime is 103281991. The next prime is 103282009. The reversal of 103282000 is 282301.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (103281991) and next prime (103282009).

It can be written as a sum of positive squares in 8 ways, for example, as 45643536 + 57638464 = 6756^2 + 7592^2 .

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 (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103282009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 225772 + ... + 226228.

Almost surely, 2^103282000 is an apocalyptic number.

103282000 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 103282000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126248616).

103282000 is an abundant number, since it is smaller than the sum of its proper divisors (149215232).

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

103282000 is a wasteful number, since it uses less digits than its factorization.

103282000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 593 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 103282000 is about 10162.7752115256. The cubic root of 103282000 is about 469.1822205989.

The spelling of 103282000 in words is "one hundred three million, two hundred eighty-two thousand".