103671360 has 336 divisors, whose sum is σ = 401604480. Its totient is φ = 25159680.

The previous prime is 103671341. The next prime is 103671361. The reversal of 103671360 is 63176301.

It is a super-3 number, since 3×103671360³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (103671361) 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, 1460125 + ... + 1460195.

Almost surely, 2^103671360 is an apocalyptic number.

103671360 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 103671360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200802240).

103671360 is an abundant number, since it is smaller than the sum of its proper divisors (297933120).

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

103671360 is a wasteful number, since it uses less digits than its factorization.

103671360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 103671360 is about 10181.9133761784. The cubic root of 103671360 is about 469.7710670190.

The spelling of 103671360 in words is "one hundred three million, six hundred seventy-one thousand, three hundred sixty".