102820752 has 50 divisors (see below), whose sum is σ = 297596838. Its totient is φ = 34273152.

The previous prime is 102820733. The next prime is 102820789. The reversal of 102820752 is 257028201.

It can be written as a sum of positive squares in only one way, i.e., 67963536 + 34857216 = 8244^2 + 5904^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 38373 + ... + 40964.

Almost surely, 2^102820752 is an apocalyptic number.

102820752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102820752 is an abundant number, since it is smaller than the sum of its proper divisors (194776086).

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

102820752 is an equidigital number, since it uses as much as digits as its factorization.

102820752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79357 (or 79342 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 102820752 is about 10140.0568045746. The cubic root of 102820752 is about 468.4827366056.

Adding to 102820752 its reverse (257028201), we get a palindrome (359848953).

The spelling of 102820752 in words is "one hundred two million, eight hundred twenty thousand, seven hundred fifty-two".