10364157 has 12 divisors (see below), whose sum is σ = 14998620. Its totient is φ = 6896448.

The previous prime is 10364149. The next prime is 10364183. The reversal of 10364157 is 75146301.

10364157 is a `hidden beast` number, since 10 + 3 + 641 + 5 + 7 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5788836 + 4575321 = 2406^2 + 2139^2 .

It is not a de Polignac number, because 10364157 - 2³ = 10364149 is a prime.

It is a super-3 number, since 3×10364157³ (a number of 22 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10364157.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10364147) 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, 7819 + ... + 9047.

It is an arithmetic number, because the mean of its divisors is an integer number (1249885).

Almost surely, 2^10364157 is an apocalyptic number.

It is an amenable number.

10364157 is a deficient number, since it is larger than the sum of its proper divisors (4634463).

10364157 is a wasteful number, since it uses less digits than its factorization.

10364157 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2172 (or 2169 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 10364157 is about 3219.3410816501. The cubic root of 10364157 is about 218.0275264739.

The spelling of 10364157 in words is "ten million, three hundred sixty-four thousand, one hundred fifty-seven".