100567383040340 has 48 divisors (see below), whose sum is σ = 214957782480000. Its totient is φ = 39513007619712.

The previous prime is 100567383040321. The next prime is 100567383040349. The reversal of 100567383040340 is 43040383765001.

It is a super-2 number, since 2×100567383040340² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100567383040291 and 100567383040300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100567383040349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107054240 + ... + 107989559.

It is an arithmetic number, because the mean of its divisors is an integer number (4478287135000).

Almost surely, 2^{100567383040340} is an apocalyptic number.

100567383040340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100567383040340 is an abundant number, since it is smaller than the sum of its proper divisors (114390399439660).

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

100567383040340 is a wasteful number, since it uses less digits than its factorization.

100567383040340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215044224 (or 215044222 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 44.

The spelling of 100567383040340 in words is "one hundred trillion, five hundred sixty-seven billion, three hundred eighty-three million, forty thousand, three hundred forty".