103420512 has 144 divisors (see below), whose sum is σ = 330771168. Its totient is φ = 30412800.

The previous prime is 103420511. The next prime is 103420607. The reversal of 103420512 is 215024301.

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

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103420511) 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, 85512 + ... + 86712.

It is an arithmetic number, because the mean of its divisors is an integer number (2297022).

Almost surely, 2^103420512 is an apocalyptic number.

103420512 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 103420512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165385584).

103420512 is an abundant number, since it is smaller than the sum of its proper divisors (227350656).

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

103420512 is a wasteful number, since it uses less digits than its factorization.

103420512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1253 (or 1242 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 103420512 is about 10169.5876022580. The cubic root of 103420512 is about 469.3918677711.

Adding to 103420512 its reverse (215024301), we get a palindrome (318444813).

The spelling of 103420512 in words is "one hundred three million, four hundred twenty thousand, five hundred twelve".