103287760 has 80 divisors (see below), whose sum is σ = 248198400. Its totient is φ = 39955968.

The previous prime is 103287739. The next prime is 103287761. The reversal of 103287760 is 67782301.

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

It is a super-2 number, since 2×103287760² = 21336722731635200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103287761) 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, 372742 + ... + 373018.

It is an arithmetic number, because the mean of its divisors is an integer number (3102480).

Almost surely, 2^103287760 is an apocalyptic number.

103287760 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 103287760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124099200).

103287760 is an abundant number, since it is smaller than the sum of its proper divisors (144910640).

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

103287760 is a wasteful number, since it uses less digits than its factorization.

103287760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 34.

The square root of 103287760 is about 10163.0585947342. The cubic root of 103287760 is about 469.1909424780.

The spelling of 103287760 in words is "one hundred three million, two hundred eighty-seven thousand, seven hundred sixty".