105291414 has 24 divisors (see below), whose sum is σ = 236581800. Its totient is φ = 35096976.

The previous prime is 105291409. The next prime is 105291419. The reversal of 105291414 is 414192501.

It is an interprime number because it is at equal distance from previous prime (105291409) and next prime (105291419).

It is a super-2 number, since 2×105291414² = 22172563724238792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105291419) 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, 107839 + ... + 108810.

It is an arithmetic number, because the mean of its divisors is an integer number (9857575).

Almost surely, 2^105291414 is an apocalyptic number.

105291414 is an abundant number, since it is smaller than the sum of its proper divisors (131290386).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105291414 is an equidigital number, since it uses as much as digits as its factorization.

105291414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216666 (or 216654 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 105291414 is about 10261.1604606886. The cubic root of 105291414 is about 472.2054399900.

The spelling of 105291414 in words is "one hundred five million, two hundred ninety-one thousand, four hundred fourteen".