102945882 has 64 divisors (see below), whose sum is σ = 232968960. Its totient is φ = 30105600.

The previous prime is 102945881. The next prime is 102945883. The reversal of 102945882 is 288549201.

It is an interprime number because it is at equal distance from previous prime (102945881) and next prime (102945883).

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 102945882.

It is not an unprimeable number, because it can be changed into a prime (102945881) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 160282 + ... + 160922.

It is an arithmetic number, because the mean of its divisors is an integer number (3640140).

Almost surely, 2^102945882 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102945882, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116484480).

102945882 is an abundant number, since it is smaller than the sum of its proper divisors (130023078).

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

102945882 is a wasteful number, since it uses less digits than its factorization.

102945882 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 759.

The product of its (nonzero) digits is 46080, while the sum is 39.

The square root of 102945882 is about 10146.2250122891. The cubic root of 102945882 is about 468.6727030589.

The spelling of 102945882 in words is "one hundred two million, nine hundred forty-five thousand, eight hundred eighty-two".