103740000 has 480 divisors, whose sum is σ = 440858880. Its totient is φ = 20736000.

The previous prime is 103739941. The next prime is 103740023. The reversal of 103740000 is 47301.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5459991 + ... + 5460009.

It is an arithmetic number, because the mean of its divisors is an integer number (918456).

Almost surely, 2^103740000 is an apocalyptic number.

103740000 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 103740000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220429440).

103740000 is an abundant number, since it is smaller than the sum of its proper divisors (337118880).

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

103740000 is a wasteful number, since it uses less digits than its factorization.

103740000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 15.

The square root of 103740000 is about 10185.2835012090. The cubic root of 103740000 is about 469.8747214009.

Adding to 103740000 its reverse (47301), we get a palindrome (103787301).

The spelling of 103740000 in words is "one hundred three million, seven hundred forty thousand".