102648006 has 64 divisors (see below), whose sum is σ = 249384960. Its totient is φ = 31155840.

The previous prime is 102647999. The next prime is 102648031. The reversal of 102648006 is 600846201.

102648006 is a `hidden beast` number, since 10 + 2 + 648 + 0 + 0 + 6 = 666.

It is a super-2 number, since 2×102648006² = 21073226271552072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26655 + ... + 30261.

It is an arithmetic number, because the mean of its divisors is an integer number (3896640).

Almost surely, 2^102648006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102648006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124692480).

102648006 is an abundant number, since it is smaller than the sum of its proper divisors (146736954).

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

102648006 is a wasteful number, since it uses less digits than its factorization.

102648006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3666 (or 3660 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 102648006 is about 10131.5352242392. The cubic root of 102648006 is about 468.2202283685.

The spelling of 102648006 in words is "one hundred two million, six hundred forty-eight thousand, six".