102780006 has 96 divisors (see below), whose sum is σ = 258351360. Its totient is φ = 26609472.

The previous prime is 102779951. The next prime is 102780037. The reversal of 102780006 is 600087201.

It is a congruent number.

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, 1742005 + ... + 1742063.

It is an arithmetic number, because the mean of its divisors is an integer number (2691160).

Almost surely, 2^102780006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102780006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129175680).

102780006 is an abundant number, since it is smaller than the sum of its proper divisors (155571354).

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

102780006 is a wasteful number, since it uses less digits than its factorization.

102780006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 102780006 is about 10138.0474451445. The cubic root of 102780006 is about 468.4208446908.

The spelling of 102780006 in words is "one hundred two million, seven hundred eighty thousand, six".