105010052 has 24 divisors (see below), whose sum is σ = 211538880. Its totient is φ = 44678880.

The previous prime is 105010027. The next prime is 105010057. The reversal of 105010052 is 250010501.

It is a super-2 number, since 2×105010052² = 22054222042085408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (105010057) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9599 + ... + 17382.

It is an arithmetic number, because the mean of its divisors is an integer number (8814120).

Almost surely, 2^105010052 is an apocalyptic number.

It is an amenable number.

105010052 is an abundant number, since it is smaller than the sum of its proper divisors (106528828).

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

105010052 is a wasteful number, since it uses less digits than its factorization.

105010052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27131 (or 27129 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 14.

The square root of 105010052 is about 10247.4412415978. The cubic root of 105010052 is about 471.7844522369.

Adding to 105010052 its reverse (250010501), we get a palindrome (355020553).

The spelling of 105010052 in words is "one hundred five million, ten thousand, fifty-two".