103552640 has 64 divisors (see below), whose sum is σ = 254304360. Its totient is φ = 40292352.

The previous prime is 103552621. The next prime is 103552663. The reversal of 103552640 is 46255301.

It can be written as a sum of positive squares in 4 ways, for example, as 99520576 + 4032064 = 9976^2 + 2008^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×103552640³ (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 7 ways as a sum of consecutive naturals, for example, 21494 + ... + 25866.

Almost surely, 2^103552640 is an apocalyptic number.

103552640 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 103552640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127152180).

103552640 is an abundant number, since it is smaller than the sum of its proper divisors (150751720).

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

103552640 is an equidigital number, since it uses as much as digits as its factorization.

103552640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4429 (or 4417 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The square root of 103552640 is about 10176.0817606778. The cubic root of 103552640 is about 469.5916779586.

The spelling of 103552640 in words is "one hundred three million, five hundred fifty-two thousand, six hundred forty".