105154049 has 48 divisors (see below), whose sum is σ = 147470400. Its totient is φ = 73664640.

The previous prime is 105154043. The next prime is 105154051. The reversal of 105154049 is 940451501.

105154049 = T₂₁₉₀ + T₂₁₉₁ + ... + T₂₂₃₂.

It is a Cunningham number, because it is equal to 472³+1.

It is not a de Polignac number, because 105154049 - 2⁸ = 105153793 is a prime.

It is a super-2 number, since 2×105154049² = 22114748042188802, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105154043) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 301127 + ... + 301475.

It is an arithmetic number, because the mean of its divisors is an integer number (3072300).

Almost surely, 2^105154049 is an apocalyptic number.

It is an amenable number.

105154049 is a deficient number, since it is larger than the sum of its proper divisors (42316351).

105154049 is a wasteful number, since it uses less digits than its factorization.

105154049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 29.

The square root of 105154049 is about 10254.4648324523. The cubic root of 105154049 is about 472.0000014962. Note that the first 5 decimals are identical.

The spelling of 105154049 in words is "one hundred five million, one hundred fifty-four thousand, forty-nine".