10067914921 has 9 divisors (see below), whose sum is σ = 10627706583. Its totient is φ = 9536218560.

The previous prime is 10067914907. The next prime is 10067914937. The reversal of 10067914921 is 12941976001.

The square root of 10067914921 is 100339.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1329404521 + 8738510400 = 36461^2 + 93480^2 .

It is not a de Polignac number, because 10067914921 - 2²⁹ = 9531044009 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10067914991) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1903801 + ... + 1909081.

It is an arithmetic number, because the mean of its divisors is an integer number (1180856287).

Almost surely, 2^10067914921 is an apocalyptic number.

10067914921 is the 100339-th square number.

10067914921 is the 50170-th centered octagonal number.

It is an amenable number.

10067914921 is a deficient number, since it is larger than the sum of its proper divisors (559791662).

10067914921 is an frugal number, since it uses more digits than its factorization.

10067914921 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10600 (or 5300 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 40.

It can be divided in two parts, 100679 and 14921, that added together give a square (115600 = 340²).

The spelling of 10067914921 in words is "ten billion, sixty-seven million, nine hundred fourteen thousand, nine hundred twenty-one".