105146625 has 32 divisors (see below), whose sum is σ = 175968000. Its totient is φ = 55756800.

The previous prime is 105146603. The next prime is 105146633. The reversal of 105146625 is 526641501.

It is not a de Polignac number, because 105146625 - 2⁷ = 105146497 is a prime.

It is a super-2 number, since 2×105146625² = 22111625497781250, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105146592 and 105146601.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73921 + ... + 75329.

It is an arithmetic number, because the mean of its divisors is an integer number (5499000).

Almost surely, 2^105146625 is an apocalyptic number.

105146625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105146625 is a deficient number, since it is larger than the sum of its proper divisors (70821375).

105146625 is a wasteful number, since it uses less digits than its factorization.

105146625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1626 (or 1616 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 105146625 is about 10254.1028374012. The cubic root of 105146625 is about 471.9888933157.

The spelling of 105146625 in words is "one hundred five million, one hundred forty-six thousand, six hundred twenty-five".