103616352 has 144 divisors (see below), whose sum is σ = 340704000. Its totient is φ = 29258496.

The previous prime is 103616327. The next prime is 103616393. The reversal of 103616352 is 253616301.

103616352 is a `hidden beast` number, since 10 + 3 + 616 + 35 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×103616352³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 207399 + ... + 207897.

It is an arithmetic number, because the mean of its divisors is an integer number (2366000).

Almost surely, 2^103616352 is an apocalyptic number.

103616352 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 103616352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170352000).

103616352 is an abundant number, since it is smaller than the sum of its proper divisors (237087648).

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

103616352 is a wasteful number, since it uses less digits than its factorization.

103616352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 103616352 is about 10179.2117573022. The cubic root of 103616352 is about 469.6879655123.

The spelling of 103616352 in words is "one hundred three million, six hundred sixteen thousand, three hundred fifty-two".