100461070080 has 648 divisors, whose sum is σ = 417449096064. Its totient is φ = 22217932800.

The previous prime is 100461070069. The next prime is 100461070091. The reversal of 100461070080 is 80070164001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (100461070069) and next prime (100461070091).

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 17496010 + ... + 17501750.

It is an arithmetic number, because the mean of its divisors is an integer number (644211568).

Almost surely, 2^100461070080 is an apocalyptic number.

100461070080 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 100461070080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208724548032).

100461070080 is an abundant number, since it is smaller than the sum of its proper divisors (316988025984).

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

100461070080 is a wasteful number, since it uses less digits than its factorization.

100461070080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5813 (or 5789 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The spelling of 100461070080 in words is "one hundred billion, four hundred sixty-one million, seventy thousand, eighty".