105148917 has 12 divisors (see below), whose sum is σ = 155113920. Its totient is φ = 68607528.

The previous prime is 105148891. The next prime is 105148919. The reversal of 105148917 is 719841501.

It is not a de Polignac number, because 105148917 - 2¹⁸ = 104886773 is a prime.

It is a super-2 number, since 2×105148917² = 22112589492545778, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105148919) 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, 123867 + ... + 124712.

It is an arithmetic number, because the mean of its divisors is an integer number (12926160).

Almost surely, 2^105148917 is an apocalyptic number.

It is an amenable number.

105148917 is a deficient number, since it is larger than the sum of its proper divisors (49965003).

105148917 is a wasteful number, since it uses less digits than its factorization.

105148917 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248632 (or 248629 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 36.

The square root of 105148917 is about 10254.2145969353. The cubic root of 105148917 is about 471.9923227828.

The spelling of 105148917 in words is "one hundred five million, one hundred forty-eight thousand, nine hundred seventeen".