100042625 has 16 divisors (see below), whose sum is σ = 125301072. Its totient is φ = 79747200.

The previous prime is 100042601. The next prime is 100042633. The reversal of 100042625 is 526240001.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 70274689 + 29767936 = 8383^2 + 5456^2 .

It is a de Polignac number, because none of the positive numbers 2^k-100042625 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100042597 and 100042606.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37847 + ... + 40403.

It is an arithmetic number, because the mean of its divisors is an integer number (7831317).

Almost surely, 2^100042625 is an apocalyptic number.

It is an amenable number.

100042625 is a deficient number, since it is larger than the sum of its proper divisors (25258447).

100042625 is an equidigital number, since it uses as much as digits as its factorization.

100042625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2885 (or 2875 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 100042625 is about 10002.1310229371. The cubic root of 100042625 is about 464.2248232346.

Adding to 100042625 its reverse (526240001), we get a palindrome (626282626).

The spelling of 100042625 in words is "one hundred million, forty-two thousand, six hundred twenty-five".