102007506666 has 96 divisors (see below), whose sum is σ = 224448838272. Its totient is φ = 30886652160.

The previous prime is 102007506617. The next prime is 102007506677. The reversal of 102007506666 is 666605700201.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52770636 + ... + 52772568.

It is an arithmetic number, because the mean of its divisors is an integer number (2338008732).

Almost surely, 2^102007506666 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102007506666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112224419136).

102007506666 is an abundant number, since it is smaller than the sum of its proper divisors (122441331606).

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

102007506666 is a wasteful number, since it uses less digits than its factorization.

102007506666 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2768 (or 2755 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The spelling of 102007506666 in words is "one hundred two billion, seven million, five hundred six thousand, six hundred sixty-six".