105117246 has 48 divisors (see below), whose sum is σ = 246551760. Its totient is φ = 32175360.

The previous prime is 105117217. The next prime is 105117269. The reversal of 105117246 is 642711501.

It is a happy number.

It is a super-2 number, since 2×105117246² = 22099270813249032, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48310 + ... + 50438.

It is an arithmetic number, because the mean of its divisors is an integer number (5136495).

Almost surely, 2^105117246 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105117246, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123275880).

105117246 is an abundant number, since it is smaller than the sum of its proper divisors (141434514).

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

105117246 is a wasteful number, since it uses less digits than its factorization.

105117246 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2361 (or 2358 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 105117246 is about 10252.6701887850. The cubic root of 105117246 is about 471.9449297763.

Adding to 105117246 its reverse (642711501), we get a palindrome (747828747).

The spelling of 105117246 in words is "one hundred five million, one hundred seventeen thousand, two hundred forty-six".