105123136 has 14 divisors (see below), whose sum is σ = 208603850. Its totient is φ = 52561536.

The previous prime is 105123127. The next prime is 105123157. The reversal of 105123136 is 631321501.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 101123136 + 4000000 = 10056^2 + 2000^2 .

It is a super-2 number, since 2×105123136² = 22101747444948992, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 821211 + ... + 821338.

It is an arithmetic number, because the mean of its divisors is an integer number (14900275).

Almost surely, 2^105123136 is an apocalyptic number.

105123136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105123136 is a deficient number, since it is larger than the sum of its proper divisors (103480714).

105123136 is an equidigital number, since it uses as much as digits as its factorization.

105123136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1642561 (or 1642551 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 22.

The square root of 105123136 is about 10252.9574270061. The cubic root of 105123136 is about 471.9537443899.

Adding to 105123136 its reverse (631321501), we get a palindrome (736444637).

The spelling of 105123136 in words is "one hundred five million, one hundred twenty-three thousand, one hundred thirty-six".