102381006 has 128 divisors (see below), whose sum is σ = 270950400. Its totient is φ = 25038720.

The previous prime is 102380983. The next prime is 102381011. The reversal of 102381006 is 600183201.

It is a super-3 number, since 3×102381006³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 736485 + ... + 736623.

It is an arithmetic number, because the mean of its divisors is an integer number (2116800).

Almost surely, 2^102381006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102381006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135475200).

102381006 is an abundant number, since it is smaller than the sum of its proper divisors (168569394).

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

102381006 is a wasteful number, since it uses less digits than its factorization.

102381006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254.

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 102381006 is about 10118.3499642975. The cubic root of 102381006 is about 467.8139098707.

The spelling of 102381006 in words is "one hundred two million, three hundred eighty-one thousand, six".