105416165025 has 36 divisors (see below), whose sum is σ = 188838475072. Its totient is φ = 56214090720.

The previous prime is 105416164957. The next prime is 105416165027. The reversal of 105416165025 is 520561614501.

105416165025 is a `hidden beast` number, since 1 + 0 + 541 + 61 + 6 + 50 + 2 + 5 = 666.

It is not a de Polignac number, because 105416165025 - 2¹² = 105416160929 is a prime.

It is a super-2 number, since 2×105416165025² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105416165027) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1808892 + ... + 1866258.

Almost surely, 2^105416165025 is an apocalyptic number.

105416165025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105416165025 is a deficient number, since it is larger than the sum of its proper divisors (83422310047).

105416165025 is a wasteful number, since it uses less digits than its factorization.

105416165025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65550 (or 65542 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

Adding to 105416165025 its reverse (520561614501), we get a palindrome (625977779526).

The spelling of 105416165025 in words is "one hundred five billion, four hundred sixteen million, one hundred sixty-five thousand, twenty-five".