102675006 has 64 divisors (see below), whose sum is σ = 262656000. Its totient is φ = 29122848.

The previous prime is 102674989. The next prime is 102675043. The reversal of 102675006 is 600576201.

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, 55411 + ... + 57233.

It is an arithmetic number, because the mean of its divisors is an integer number (4104000).

Almost surely, 2^102675006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102675006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131328000).

102675006 is an abundant number, since it is smaller than the sum of its proper divisors (159980994).

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

102675006 is a wasteful number, since it uses less digits than its factorization.

102675006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1990 (or 1984 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 102675006 is about 10132.8676099118. The cubic root of 102675006 is about 468.2612775111.

The spelling of 102675006 in words is "one hundred two million, six hundred seventy-five thousand, six".