105154047 has 12 divisors (see below), whose sum is σ = 152858680. Its totient is φ = 69655248.

The previous prime is 105154043. The next prime is 105154051. The reversal of 105154047 is 740451501.

It is a happy number.

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

It is an interprime number because it is at equal distance from previous prime (105154043) and next prime (105154051).

It is not a de Polignac number, because 105154047 - 2² = 105154043 is a prime.

It is a super-2 number, since 2×105154047² = 22114747200956418, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 105154047.

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 11 ways as a sum of consecutive naturals, for example, 35797 + ... + 38622.

Almost surely, 2^105154047 is an apocalyptic number.

105154047 is a deficient number, since it is larger than the sum of its proper divisors (47704633).

105154047 is a wasteful number, since it uses less digits than its factorization.

105154047 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74582 (or 74579 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 105154047 is about 10254.4647349338. The cubic root of 105154047 is about 471.9999985038. Note that the first 5 decimals are identical.

The spelling of 105154047 in words is "one hundred five million, one hundred fifty-four thousand, forty-seven".