10007381921 has 8 divisors (see below), whose sum is σ = 10101395304. Its totient is φ = 9913805440.

The previous prime is 10007381899. The next prime is 10007381927. The reversal of 10007381921 is 12918370001.

It can be written as a sum of positive squares in 4 ways, for example, as 2066611600 + 7940770321 = 45460^2 + 89111^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10007381921 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10007381927) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63110 + ... + 154911.

It is an arithmetic number, because the mean of its divisors is an integer number (1262674413).

Almost surely, 2^10007381921 is an apocalyptic number.

It is an amenable number.

10007381921 is a deficient number, since it is larger than the sum of its proper divisors (94013383).

10007381921 is a wasteful number, since it uses less digits than its factorization.

10007381921 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218451.

The product of its (nonzero) digits is 3024, while the sum is 32.

The spelling of 10007381921 in words is "ten billion, seven million, three hundred eighty-one thousand, nine hundred twenty-one".