10005772381 has 24 divisors (see below), whose sum is σ = 11891881728. Its totient is φ = 8339328000.

The previous prime is 10005772373. The next prime is 10005772391. The reversal of 10005772381 is 18327750001.

It is not a de Polignac number, because 10005772381 - 2³ = 10005772373 is a prime.

It is a super-2 number, since 2×10005772381² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10005772351) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82461 + ... + 163741.

It is an arithmetic number, because the mean of its divisors is an integer number (495495072).

Almost surely, 2^10005772381 is an apocalyptic number.

10005772381 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10005772381 is a deficient number, since it is larger than the sum of its proper divisors (1886109347).

10005772381 is a wasteful number, since it uses less digits than its factorization.

10005772381 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81361 (or 81342 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 34.

The spelling of 10005772381 in words is "ten billion, five million, seven hundred seventy-two thousand, three hundred eighty-one".