103553664 has 128 divisors (see below), whose sum is σ = 301838400. Its totient is φ = 31309824.

The previous prime is 103553663. The next prime is 103553677. The reversal of 103553664 is 466355301.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×103553664³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (103553663) 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, 189039 + ... + 189585.

Almost surely, 2^103553664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103553664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150919200).

103553664 is an abundant number, since it is smaller than the sum of its proper divisors (198284736).

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

103553664 is a wasteful number, since it uses less digits than its factorization.

103553664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 33.

The square root of 103553664 is about 10176.1320746146. The cubic root of 103553664 is about 469.5932258357.

The spelling of 103553664 in words is "one hundred three million, five hundred fifty-three thousand, six hundred sixty-four".