101925261 has 12 divisors (see below), whose sum is σ = 148684380. Its totient is φ = 67276800.

The previous prime is 101925223. The next prime is 101925287. The reversal of 101925261 is 162529101.

It can be written as a sum of positive squares in 2 ways, for example, as 45765225 + 56160036 = 6765^2 + 7494^2 .

It is not a de Polignac number, because 101925261 - 2¹³ = 101917069 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101920261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55156 + ... + 56973.

It is an arithmetic number, because the mean of its divisors is an integer number (12390365).

Almost surely, 2^101925261 is an apocalyptic number.

It is an amenable number.

101925261 is a deficient number, since it is larger than the sum of its proper divisors (46759119).

101925261 is a wasteful number, since it uses less digits than its factorization.

101925261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112236 (or 112233 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 101925261 is about 10095.8041284486. The cubic root of 101925261 is about 467.1187256123.

The spelling of 101925261 in words is "one hundred one million, nine hundred twenty-five thousand, two hundred sixty-one".