381590009100 has 144 divisors (see below), whose sum is σ = 1226985947040. Its totient is φ = 101737036800.

The previous prime is 381590009089. The next prime is 381590009111. The reversal of 381590009100 is 1900095183.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (381590009089) and next prime (381590009111).

It is a super-2 number, since 2×381590009100² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 17595864 + ... + 17617536.

Almost surely, 2^381590009100 is an apocalyptic number.

381590009100 is a gapful number since it is divisible by the number (30) 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 381590009100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613492973520).

381590009100 is an abundant number, since it is smaller than the sum of its proper divisors (845395937940).

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

381590009100 is a wasteful number, since it uses less digits than its factorization.

381590009100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28217 (or 28204 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 36.

The spelling of 381590009100 in words is "three hundred eighty-one billion, five hundred ninety million, nine thousand, one hundred".