104661021696 has 528 divisors, whose sum is σ = 369697239552. Its totient is φ = 25568870400.

The previous prime is 104661021683. The next prime is 104661021701. The reversal of 104661021696 is 696120166401.

It is a tau number, because it is divible by the number of its divisors (528).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68360451 + ... + 68361981.

Almost surely, 2^104661021696 is an apocalyptic number.

104661021696 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 104661021696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184848619776).

104661021696 is an abundant number, since it is smaller than the sum of its proper divisors (265036217856).

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

104661021696 is a wasteful number, since it uses less digits than its factorization.

104661021696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1606 (or 1571 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The spelling of 104661021696 in words is "one hundred four billion, six hundred sixty-one million, twenty-one thousand, six hundred ninety-six".