105162625 has 16 divisors (see below), whose sum is σ = 138153600. Its totient is φ = 79700400.

The previous prime is 105162623. The next prime is 105162637. The reversal of 105162625 is 526261501.

It is not a de Polignac number, because 105162625 - 2¹ = 105162623 is a prime.

It is a super-2 number, since 2×105162625² = 22118355393781250, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105162593 and 105162602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105162623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19765 + ... + 24514.

It is an arithmetic number, because the mean of its divisors is an integer number (8634600).

Almost surely, 2^105162625 is an apocalyptic number.

It is an amenable number.

105162625 is a deficient number, since it is larger than the sum of its proper divisors (32990975).

105162625 is an equidigital number, since it uses as much as digits as its factorization.

105162625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44313 (or 44303 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

The square root of 105162625 is about 10254.8829832427. The cubic root of 105162625 is about 472.0128327091.

The spelling of 105162625 in words is "one hundred five million, one hundred sixty-two thousand, six hundred twenty-five".