103599552 has 112 divisors (see below), whose sum is σ = 329834240. Its totient is φ = 28035072.

The previous prime is 103599539. The next prime is 103599611. The reversal of 103599552 is 255995301.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-3 number, since 3×103599552³ (a number of 25 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 103599552.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23508 + ... + 27564.

Almost surely, 2^103599552 is an apocalyptic number.

103599552 is a gapful number since it is divisible by the number (12) 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 103599552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164917120).

103599552 is an abundant number, since it is smaller than the sum of its proper divisors (226234688).

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

103599552 is a wasteful number, since it uses less digits than its factorization.

103599552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4098 (or 4088 counting only the distinct ones).

The product of its (nonzero) digits is 60750, while the sum is 39.

The square root of 103599552 is about 10178.3865126060. The cubic root of 103599552 is about 469.6625796082.

The spelling of 103599552 in words is "one hundred three million, five hundred ninety-nine thousand, five hundred fifty-two".