103252752 has 80 divisors (see below), whose sum is σ = 297590080. Its totient is φ = 34276608.

The previous prime is 103252739. The next prime is 103252769. The reversal of 103252752 is 257252301.

It is a super-2 number, since 2×103252752² = 21322261591147008, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 197163 + ... + 197685.

It is an arithmetic number, because the mean of its divisors is an integer number (3719876).

Almost surely, 2^103252752 is an apocalyptic number.

103252752 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 103252752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148795040).

103252752 is an abundant number, since it is smaller than the sum of its proper divisors (194337328).

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

103252752 is a wasteful number, since it uses less digits than its factorization.

103252752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 997 (or 985 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 103252752 is about 10161.3361326156. The cubic root of 103252752 is about 469.1379278304.

The spelling of 103252752 in words is "one hundred three million, two hundred fifty-two thousand, seven hundred fifty-two".