103888512 has 192 divisors, whose sum is σ = 368309760. Its totient is φ = 27371520.

The previous prime is 103888511. The next prime is 103888531. The reversal of 103888512 is 215888301.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is not an unprimeable number, because it can be changed into a prime (103888511) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104337 + ... + 105327.

It is an arithmetic number, because the mean of its divisors is an integer number (1918280).

Almost surely, 2^103888512 is an apocalyptic number.

103888512 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 103888512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184154880).

103888512 is an abundant number, since it is smaller than the sum of its proper divisors (264421248).

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

103888512 is a wasteful number, since it uses less digits than its factorization.

103888512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1031 (or 1016 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The square root of 103888512 is about 10192.5714125534. The cubic root of 103888512 is about 470.0988354090.

It can be divided in two parts, 10388851 and 2, that multiplied together give a palindrome (20777702).

The spelling of 103888512 in words is "one hundred three million, eight hundred eighty-eight thousand, five hundred twelve".