103142736 has 60 divisors (see below), whose sum is σ = 289797300. Its totient is φ = 34245120.

The previous prime is 103142713. The next prime is 103142737. The reversal of 103142736 is 637241301.

It can be written as a sum of positive squares in 2 ways, for example, as 84272400 + 18870336 = 9180^2 + 4344^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103142737) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39190 + ... + 41738.

It is an arithmetic number, because the mean of its divisors is an integer number (4829955).

Almost surely, 2^103142736 is an apocalyptic number.

103142736 is a gapful number since it is divisible by the number (16) 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 103142736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144898650).

103142736 is an abundant number, since it is smaller than the sum of its proper divisors (186654564).

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

103142736 is a wasteful number, since it uses less digits than its factorization.

103142736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2844 (or 2835 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 103142736 is about 10155.9212285248. The cubic root of 103142736 is about 468.9712461705.

The spelling of 103142736 in words is "one hundred three million, one hundred forty-two thousand, seven hundred thirty-six".