10267101 has 16 divisors (see below), whose sum is σ = 16381120. Its totient is φ = 6318000.

The previous prime is 10267091. The next prime is 10267109. The reversal of 10267101 is 10176201.

10267101 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10267101 - 2⁵ = 10267069 is a prime.

It is a super-4 number, since 4×10267101⁴ (a number of 29 digits) contains 4444 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10267109) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14275 + ... + 14976.

It is an arithmetic number, because the mean of its divisors is an integer number (1023820).

Almost surely, 2^10267101 is an apocalyptic number.

It is an amenable number.

10267101 is a deficient number, since it is larger than the sum of its proper divisors (6114019).

10267101 is a wasteful number, since it uses less digits than its factorization.

10267101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29273 (or 29267 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 10267101 is about 3204.2317331928. The cubic root of 10267101 is about 217.3448120095.

The spelling of 10267101 in words is "ten million, two hundred sixty-seven thousand, one hundred one".