122115105 has 36 divisors (see below), whose sum is σ = 246228372. Its totient is φ = 55823040.

The previous prime is 122115079. The next prime is 122115113. The reversal of 122115105 is 501511221.

It can be written as a sum of positive squares in 2 ways, for example, as 86545809 + 35569296 = 9303^2 + 5964^2 .

It is not a de Polignac number, because 122115105 - 2⁹ = 122114593 is a prime.

It is a super-2 number, since 2×122115105² = 29824197738322050, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 25486 + ... + 29895.

It is an arithmetic number, because the mean of its divisors is an integer number (6839677).

Almost surely, 2^122115105 is an apocalyptic number.

122115105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

122115105 is an abundant number, since it is smaller than the sum of its proper divisors (124113267).

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

122115105 is a wasteful number, since it uses less digits than its factorization.

122115105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55406 (or 55396 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 18.

The square root of 122115105 is about 11050.5703472717. The cubic root of 122115105 is about 496.1234964448.

Adding to 122115105 its reverse (501511221), we get a palindrome (623626326).

The spelling of 122115105 in words is "one hundred twenty-two million, one hundred fifteen thousand, one hundred five".