100580693283840 has 2112 divisors, whose sum is σ = 416986566377472. Its totient is φ = 20243927531520.

The previous prime is 100580693283809. The next prime is 100580693283881. The reversal of 100580693283840 is 48382396085001.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a super-2 number, since 2×100580693283840² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 62981021922 + ... + 62981023518.

Almost surely, 2^{100580693283840} is an apocalyptic number.

100580693283840 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 100580693283840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208493283188736).

100580693283840 is an abundant number, since it is smaller than the sum of its proper divisors (316405873093632).

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

100580693283840 is a wasteful number, since it uses less digits than its factorization.

100580693283840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1804 (or 1775 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 57.

The spelling of 100580693283840 in words is "one hundred trillion, five hundred eighty billion, six hundred ninety-three million, two hundred eighty-three thousand, eight hundred forty".