102706180 has 48 divisors (see below), whose sum is σ = 229216176. Its totient is φ = 38522880.

The previous prime is 102706159. The next prime is 102706181. The reversal of 102706180 is 81607201.

It can be written as a sum of positive squares in 8 ways, for example, as 18507204 + 84198976 = 4302^2 + 9176^2 .

It is not an unprimeable number, because it can be changed into a prime (102706181) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 155050 + ... + 155710.

It is an arithmetic number, because the mean of its divisors is an integer number (4775337).

Almost surely, 2^102706180 is an apocalyptic number.

102706180 is a gapful number since it is divisible by the number (10) 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 102706180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114608088).

102706180 is an abundant number, since it is smaller than the sum of its proper divisors (126509996).

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

102706180 is a wasteful number, since it uses less digits than its factorization.

102706180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1144 (or 1142 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 25.

The square root of 102706180 is about 10134.4057546558. The cubic root of 102706180 is about 468.3086635970.

The spelling of 102706180 in words is "one hundred two million, seven hundred six thousand, one hundred eighty".