38426560105100 has 144 divisors (see below), whose sum is σ = 85020460842240. Its totient is φ = 15070674528000.

The previous prime is 38426560105097. The next prime is 38426560105183. The reversal of 38426560105100 is 150106562483.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6567517175 + ... + 6567523025.

It is an arithmetic number, because the mean of its divisors is an integer number (590419866960).

Almost surely, 2^{38426560105100} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38426560105100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42510230421120).

38426560105100 is an abundant number, since it is smaller than the sum of its proper divisors (46593900737140).

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

38426560105100 is a wasteful number, since it uses less digits than its factorization.

38426560105100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8640 (or 8633 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 41.

Adding to 38426560105100 its reverse (150106562483), we get a palindrome (38576666667583).

The spelling of 38426560105100 in words is "thirty-eight trillion, four hundred twenty-six billion, five hundred sixty million, one hundred five thousand, one hundred".