103152528 has 120 divisors (see below), whose sum is σ = 306834528. Its totient is φ = 33530112.

The previous prime is 103152527. The next prime is 103152529. The reversal of 103152528 is 825251301.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (103152527) and next prime (103152529).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (103152521) 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, 166876 + ... + 167492.

Almost surely, 2^103152528 is an apocalyptic number.

103152528 is a gapful number since it is divisible by the number (18) 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 103152528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153417264).

103152528 is an abundant number, since it is smaller than the sum of its proper divisors (203682000).

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

103152528 is an equidigital number, since it uses as much as digits as its factorization.

103152528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 683 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 103152528 is about 10156.4033003815. The cubic root of 103152528 is about 468.9860865148.

The spelling of 103152528 in words is "one hundred three million, one hundred fifty-two thousand, five hundred twenty-eight".