100261625 has 16 divisors (see below), whose sum is σ = 126431760. Its totient is φ = 79372800.

The previous prime is 100261549. The next prime is 100261627. The reversal of 100261625 is 526162001.

It can be written as a sum of positive squares in 8 ways, for example, as 13920361 + 86341264 = 3731^2 + 9292^2 .

It is not a de Polignac number, because 100261625 - 2¹⁴ = 100245241 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100261625.

It is not an unprimeable number, because it can be changed into a prime (100261627) 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, 7991 + ... + 16259.

It is an arithmetic number, because the mean of its divisors is an integer number (7901985).

Almost surely, 2^100261625 is an apocalyptic number.

It is an amenable number.

100261625 is a deficient number, since it is larger than the sum of its proper divisors (26170135).

100261625 is an frugal number, since it uses more digits than its factorization.

100261625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8381 (or 8371 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 100261625 is about 10013.0727052189. The cubic root of 100261625 is about 464.5633160932.

The spelling of 100261625 in words is "one hundred million, two hundred sixty-one thousand, six hundred twenty-five".