102957066 has 48 divisors (see below), whose sum is σ = 239241600. Its totient is φ = 31883904.

The previous prime is 102957053. The next prime is 102957089. The reversal of 102957066 is 660759201.

102957066 is a `hidden beast` number, since 1 + 0 + 29 + 570 + 66 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 102957066.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22045 + ... + 26303.

It is an arithmetic number, because the mean of its divisors is an integer number (4984200).

Almost surely, 2^102957066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102957066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119620800).

102957066 is an abundant number, since it is smaller than the sum of its proper divisors (136284534).

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

102957066 is a wasteful number, since it uses less digits than its factorization.

102957066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4363 (or 4360 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 102957066 is about 10146.7761382618. The cubic root of 102957066 is about 468.6896745835.

The spelling of 102957066 in words is "one hundred two million, nine hundred fifty-seven thousand, sixty-six".