105014052 has 72 divisors (see below), whose sum is σ = 311875200. Its totient is φ = 29373120.

The previous prime is 105014033. The next prime is 105014089. The reversal of 105014052 is 250410501.

It is a super-2 number, since 2×105014052² = 22055902234917408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5052 + ... + 15347.

It is an arithmetic number, because the mean of its divisors is an integer number (4331600).

Almost surely, 2^105014052 is an apocalyptic number.

105014052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105014052 is an abundant number, since it is smaller than the sum of its proper divisors (206861148).

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

105014052 is a wasteful number, since it uses less digits than its factorization.

105014052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20433 (or 20428 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 105014052 is about 10247.6364104119. The cubic root of 105014052 is about 471.7904425011.

Adding to 105014052 its reverse (250410501), we get a palindrome (355424553).

The spelling of 105014052 in words is "one hundred five million, fourteen thousand, fifty-two".