103152512 has 48 divisors (see below), whose sum is σ = 210181200. Its totient is φ = 50419200.

The previous prime is 103152503. The next prime is 103152521. The reversal of 103152512 is 215251301.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (103152503) and next prime (103152521).

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1021262 + ... + 1021362.

It is an arithmetic number, because the mean of its divisors is an integer number (4378775).

Almost surely, 2^103152512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103152512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105090600).

103152512 is an abundant number, since it is smaller than the sum of its proper divisors (107028688).

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

103152512 is an frugal number, since it uses more digits than its factorization.

103152512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 20.

The square root of 103152512 is about 10156.4025127010. The cubic root of 103152512 is about 468.9860622666.

The spelling of 103152512 in words is "one hundred three million, one hundred fifty-two thousand, five hundred twelve".