102444631146 has 128 divisors (see below), whose sum is σ = 270213753600. Its totient is φ = 28360212480.

The previous prime is 102444631139. The next prime is 102444631147. The reversal of 102444631146 is 641136444201.

102444631146 is a `hidden beast` number, since 1 + 0 + 2 + 4 + 4 + 4 + 631 + 14 + 6 = 666.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 102444631146.

It is not an unprimeable number, because it can be changed into a prime (102444631147) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 680650 + ... + 817418.

It is an arithmetic number, because the mean of its divisors is an integer number (2111044950).

Almost surely, 2^102444631146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102444631146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135106876800).

102444631146 is an abundant number, since it is smaller than the sum of its proper divisors (167769122454).

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

102444631146 is a wasteful number, since it uses less digits than its factorization.

102444631146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136901 (or 136895 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 102444631146 in words is "one hundred two billion, four hundred forty-four million, six hundred thirty-one thousand, one hundred forty-six".