103563264 has 180 divisors, whose sum is σ = 328718544. Its totient is φ = 28901376.

The previous prime is 103563247. The next prime is 103563283. The reversal of 103563264 is 462365301.

It is a super-3 number, since 3×103563264³ (a number of 25 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2408427 + ... + 2408469.

Almost surely, 2^103563264 is an apocalyptic number.

103563264 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 103563264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164359272).

103563264 is an abundant number, since it is smaller than the sum of its proper divisors (225155280).

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

103563264 is an frugal number, since it uses more digits than its factorization.

103563264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 103563264 is about 10176.6037556741. The cubic root of 103563264 is about 469.6077366877.

The spelling of 103563264 in words is "one hundred three million, five hundred sixty-three thousand, two hundred sixty-four".