104629966080 has 288 divisors, whose sum is σ = 367048765440. Its totient is φ = 25283174400.

The previous prime is 104629966073. The next prime is 104629966087. The reversal of 104629966080 is 80669926401.

It is an interprime number because it is at equal distance from previous prime (104629966073) and next prime (104629966087).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104629966087) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1646905 + ... + 1709255.

It is an arithmetic number, because the mean of its divisors is an integer number (1274474880).

Almost surely, 2^104629966080 is an apocalyptic number.

104629966080 is a gapful number since it is divisible by the number (10) 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 104629966080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183524382720).

104629966080 is an abundant number, since it is smaller than the sum of its proper divisors (262418799360).

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

104629966080 is a wasteful number, since it uses less digits than its factorization.

104629966080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62417 (or 62403 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 51.

The spelling of 104629966080 in words is "one hundred four billion, six hundred twenty-nine million, nine hundred sixty-six thousand, eighty".