102282972 has 48 divisors (see below), whose sum is σ = 261254784. Its totient is φ = 30888000.

The previous prime is 102282953. The next prime is 102282977. The reversal of 102282972 is 279282201.

It is a super-2 number, since 2×102282972² = 20923612722305568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102282977) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42522 + ... + 44862.

It is an arithmetic number, because the mean of its divisors is an integer number (5442808).

Almost surely, 2^102282972 is an apocalyptic number.

102282972 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 102282972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130627392).

102282972 is an abundant number, since it is smaller than the sum of its proper divisors (158971812).

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

102282972 is a wasteful number, since it uses less digits than its factorization.

102282972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2690 (or 2688 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 102282972 is about 10113.5044371375. The cubic root of 102282972 is about 467.6645452032.

The spelling of 102282972 in words is "one hundred two million, two hundred eighty-two thousand, nine hundred seventy-two".