100101625 has 32 divisors (see below), whose sum is σ = 135626400. Its totient is φ = 73324800.

The previous prime is 100101607. The next prime is 100101629. The reversal of 100101625 is 526101001.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 86713344 + 13388281 = 9312^2 + 3659^2 .

It is a de Polignac number, because none of the positive numbers 2^k-100101625 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100101599 and 100101608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100101629) 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, 371991 + ... + 372259.

It is an arithmetic number, because the mean of its divisors is an integer number (4238325).

Almost surely, 2^100101625 is an apocalyptic number.

It is an amenable number.

100101625 is a deficient number, since it is larger than the sum of its proper divisors (35524775).

100101625 is a wasteful number, since it uses less digits than its factorization.

100101625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 16.

The square root of 100101625 is about 10005.0799597005. The cubic root of 100101625 is about 464.3160639501.

Adding to 100101625 its reverse (526101001), we get a palindrome (626202626).

The spelling of 100101625 in words is "one hundred million, one hundred one thousand, six hundred twenty-five".