105212151 has 24 divisors (see below), whose sum is σ = 167665680. Its totient is φ = 63043200.

The previous prime is 105212147. The next prime is 105212183. The reversal of 105212151 is 151212501.

It is not a de Polignac number, because 105212151 - 2² = 105212147 is a prime.

It is a super-3 number, since 3×105212151³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105212111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2841 + ... + 14781.

It is an arithmetic number, because the mean of its divisors is an integer number (6986070).

Almost surely, 2^105212151 is an apocalyptic number.

105212151 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

105212151 is a deficient number, since it is larger than the sum of its proper divisors (62453529).

105212151 is a wasteful number, since it uses less digits than its factorization.

105212151 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12047 (or 12044 counting only the distinct ones).

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

The square root of 105212151 is about 10257.2974510833. The cubic root of 105212151 is about 472.0869187220.

Adding to 105212151 its reverse (151212501), we get a palindrome (256424652).

It can be divided in two parts, 1052 and 12151, that added together give a triangular number (13203 = T₁₆₂).

The spelling of 105212151 in words is "one hundred five million, two hundred twelve thousand, one hundred fifty-one".