103014000 has 240 divisors, whose sum is σ = 369663840. Its totient is φ = 26726400.

The previous prime is 103013983. The next prime is 103014001. The reversal of 103014000 is 410301.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×103014000² = 21223768392000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103014001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1061952 + ... + 1062048.

It is an arithmetic number, because the mean of its divisors is an integer number (1540266).

Almost surely, 2^103014000 is an apocalyptic number.

103014000 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 103014000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184831920).

103014000 is an abundant number, since it is smaller than the sum of its proper divisors (266649840).

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

103014000 is a wasteful number, since it uses less digits than its factorization.

103014000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 103014000 is about 10149.5812721511. The cubic root of 103014000 is about 468.7760518854.

Adding to 103014000 its reverse (410301), we get a palindrome (103424301).

The spelling of 103014000 in words is "one hundred three million, fourteen thousand".