9100101625 has 16 divisors (see below), whose sum is σ = 11359679760. Its totient is φ = 7278316800.

The previous prime is 9100101613. The next prime is 9100101629. The reversal of 9100101625 is 5261010019.

It can be written as a sum of positive squares in 8 ways, for example, as 2089221264 + 7010880361 = 45708^2 + 83731^2 .

It is not a de Polignac number, because 9100101625 - 2¹¹ = 9100099577 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a self number, because there is not a number n which added to its sum of digits gives 9100101625.

It is not an unprimeable number, because it can be changed into a prime (9100101629) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 816591 + ... + 827659.

It is an arithmetic number, because the mean of its divisors is an integer number (709979985).

Almost surely, 2^9100101625 is an apocalyptic number.

It is an amenable number.

9100101625 is a deficient number, since it is larger than the sum of its proper divisors (2259578135).

9100101625 is a wasteful number, since it uses less digits than its factorization.

9100101625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17661 (or 17651 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 25.

The square root of 9100101625 is about 95394.4527999401. The cubic root of 9100101625 is about 2087.7672503765.

The spelling of 9100101625 in words is "nine billion, one hundred million, one hundred one thousand, six hundred twenty-five".