105157206 has 96 divisors (see below), whose sum is σ = 300837888. Its totient is φ = 25701120.

The previous prime is 105157193. The next prime is 105157243. The reversal of 105157206 is 602751501.

105157206 is nontrivially palindromic in base 8.

It is a super-2 number, since 2×105157206² = 22116075947452872, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105157206.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21331 + ... + 25793.

It is an arithmetic number, because the mean of its divisors is an integer number (3133728).

Almost surely, 2^105157206 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105157206, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150418944).

105157206 is an abundant number, since it is smaller than the sum of its proper divisors (195680682).

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

105157206 is a wasteful number, since it uses less digits than its factorization.

105157206 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4506 (or 4503 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The square root of 105157206 is about 10254.6187642447. The cubic root of 105157206 is about 472.0047250078.

The spelling of 105157206 in words is "one hundred five million, one hundred fifty-seven thousand, two hundred six".