103643064 has 160 divisors (see below), whose sum is σ = 337386720. Its totient is φ = 29113344.

The previous prime is 103643053. The next prime is 103643077. The reversal of 103643064 is 460346301.

103643064 is a `hidden beast` number, since 10 + 3 + 643 + 0 + 6 + 4 = 666.

It is a super-3 number, since 3×103643064³ (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 330972 + ... + 331284.

It is an arithmetic number, because the mean of its divisors is an integer number (2108667).

Almost surely, 2^103643064 is an apocalyptic number.

103643064 is a gapful number since it is divisible by the number (14) 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 103643064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168693360).

103643064 is an abundant number, since it is smaller than the sum of its proper divisors (233743656).

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

103643064 is a wasteful number, since it uses less digits than its factorization.

103643064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 103643064 is about 10180.5237586285. The cubic root of 103643064 is about 469.7283234504.

Adding to 103643064 its reverse (460346301), we get a palindrome (563989365).

It can be divided in two parts, 1036 and 43064, that added together give a square (44100 = 210²).

The spelling of 103643064 in words is "one hundred three million, six hundred forty-three thousand, sixty-four".