102982752 has 120 divisors (see below), whose sum is σ = 307908216. Its totient is φ = 33758208.

The previous prime is 102982751. The next prime is 102982771. The reversal of 102982752 is 257289201.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102982751) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 173368 + ... + 173960.

Almost surely, 2^102982752 is an apocalyptic number.

102982752 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 102982752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153954108).

102982752 is an abundant number, since it is smaller than the sum of its proper divisors (204925464).

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

102982752 is an equidigital number, since it uses as much as digits as its factorization.

102982752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 682 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 102982752 is about 10148.0417815458. The cubic root of 102982752 is about 468.7286479874.

The spelling of 102982752 in words is "one hundred two million, nine hundred eighty-two thousand, seven hundred fifty-two".