105050052 has 36 divisors (see below), whose sum is σ = 269901996. Its totient is φ = 34441920.

The previous prime is 105050027. The next prime is 105050087. The reversal of 105050052 is 250050501.

It can be written as a sum of positive squares in 2 ways, for example, as 15634116 + 89415936 = 3954^2 + 9456^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×105050052² = 22071026850405408, 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 11 ways as a sum of consecutive naturals, for example, 21723 + ... + 26114.

Almost surely, 2^105050052 is an apocalyptic number.

105050052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105050052 is an abundant number, since it is smaller than the sum of its proper divisors (164851944).

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

105050052 is a wasteful number, since it uses less digits than its factorization.

105050052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47908 (or 47903 counting only the distinct ones).

The product of its (nonzero) digits is 250, while the sum is 18.

The square root of 105050052 is about 10249.3927625006. The cubic root of 105050052 is about 471.8443480345.

The spelling of 105050052 in words is "one hundred five million, fifty thousand, fifty-two".