105401530 has 64 divisors (see below), whose sum is σ = 222354720. Its totient is φ = 35610624.

The previous prime is 105401509. The next prime is 105401533. The reversal of 105401530 is 35104501.

It can be written as a sum of positive squares in 16 ways, for example, as 40615129 + 64786401 = 6373^2 + 8049^2 .

It is a super-2 number, since 2×105401530² = 22218965052681800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105401498 and 105401507.

It is not an unprimeable number, because it can be changed into a prime (105401533) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81126 + ... + 82414.

Almost surely, 2^105401530 is an apocalyptic number.

105401530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105401530 is an abundant number, since it is smaller than the sum of its proper divisors (116953190).

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

105401530 is a wasteful number, since it uses less digits than its factorization.

105401530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1363.

The product of its (nonzero) digits is 300, while the sum is 19.

The square root of 105401530 is about 10266.5247284561. The cubic root of 105401530 is about 472.3699968015.

The spelling of 105401530 in words is "one hundred five million, four hundred one thousand, five hundred thirty".