101691125 has 8 divisors (see below), whose sum is σ = 126910680. Its totient is φ = 81352800.

The previous prime is 101691113. The next prime is 101691131. The reversal of 101691125 is 521196101.

It can be written as a sum of positive squares in 4 ways, for example, as 5317636 + 96373489 = 2306^2 + 9817^2 .

It is not a de Polignac number, because 101691125 - 2⁶ = 101691061 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101691094 and 101691103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 406640 + ... + 406889.

It is an arithmetic number, because the mean of its divisors is an integer number (15863835).

Almost surely, 2^101691125 is an apocalyptic number.

It is an amenable number.

101691125 is a deficient number, since it is larger than the sum of its proper divisors (25219555).

101691125 is an frugal number, since it uses more digits than its factorization.

101691125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 813544 (or 813534 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 26.

The square root of 101691125 is about 10084.2017532376. The cubic root of 101691125 is about 466.7607732550.

The spelling of 101691125 in words is "one hundred one million, six hundred ninety-one thousand, one hundred twenty-five".