102641780736 has 576 divisors, whose sum is σ = 347078571840. Its totient is φ = 28877783040.

The previous prime is 102641780699. The next prime is 102641780767. The reversal of 102641780736 is 637087146201.

It is a tau number, because it is divible by the number of its divisors (576).

It is a junction number, because it is equal to n+sod(n) for n = 102641780691 and 102641780700.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 334337895 + ... + 334338201.

It is an arithmetic number, because the mean of its divisors is an integer number (602566965).

Almost surely, 2^102641780736 is an apocalyptic number.

102641780736 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 102641780736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173539285920).

102641780736 is an abundant number, since it is smaller than the sum of its proper divisors (244436791104).

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

102641780736 is a wasteful number, since it uses less digits than its factorization.

102641780736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 102641780736 in words is "one hundred two billion, six hundred forty-one million, seven hundred eighty thousand, seven hundred thirty-six".