102646404736 has 64 divisors (see below), whose sum is σ = 216694414080. Its totient is φ = 48265228288.

The previous prime is 102646404649. The next prime is 102646404769. The reversal of 102646404736 is 637404646201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 102646404692 and 102646404701.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2773425 + ... + 2810191.

It is an arithmetic number, because the mean of its divisors is an integer number (3385850220).

Almost surely, 2^102646404736 is an apocalyptic number.

102646404736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102646404736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108347207040).

102646404736 is an abundant number, since it is smaller than the sum of its proper divisors (114048009344).

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

102646404736 is a wasteful number, since it uses less digits than its factorization.

102646404736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38081 (or 38069 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 43.

The spelling of 102646404736 in words is "one hundred two billion, six hundred forty-six million, four hundred four thousand, seven hundred thirty-six".