10145971 has 12 divisors (see below), whose sum is σ = 11318832. Its totient is φ = 9086000.

The previous prime is 10145939. The next prime is 10145977. The reversal of 10145971 is 17954101.

10145971 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10145971 - 2⁵ = 10145939 is a prime.

It is a super-3 number, since 3×10145971³ (a number of 22 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10145977) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8001 + ... + 9181.

It is an arithmetic number, because the mean of its divisors is an integer number (943236).

Almost surely, 2^10145971 is an apocalyptic number.

10145971 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10145971 is a deficient number, since it is larger than the sum of its proper divisors (1172861).

10145971 is a wasteful number, since it uses less digits than its factorization.

10145971 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1274 (or 1263 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 28.

The square root of 10145971 is about 3185.2740855380. The cubic root of 10145971 is about 216.4866926236.

The spelling of 10145971 in words is "ten million, one hundred forty-five thousand, nine hundred seventy-one".