103815648 has 48 divisors (see below), whose sum is σ = 302798160. Its totient is φ = 34604928.

The previous prime is 103815619. The next prime is 103815659. The reversal of 103815648 is 846518301.

103815648 is a `hidden beast` number, since 1 + 0 + 3 + 8 + 1 + 5 + 648 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×103815648³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a congruent number.

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, 59215 + ... + 60942.

It is an arithmetic number, because the mean of its divisors is an integer number (6308295).

Almost surely, 2^103815648 is an apocalyptic number.

103815648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

103815648 is an abundant number, since it is smaller than the sum of its proper divisors (198982512).

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

103815648 is a wasteful number, since it uses less digits than its factorization.

103815648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120176 (or 120162 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 103815648 is about 10188.9964177047. The cubic root of 103815648 is about 469.9889057288.

The spelling of 103815648 in words is "one hundred three million, eight hundred fifteen thousand, six hundred forty-eight".