100775725 has 24 divisors (see below), whose sum is σ = 130694760. Its totient is φ = 76984320.

The previous prime is 100775687. The next prime is 100775729. The reversal of 100775725 is 527577001.

It can be written as a sum of positive squares in 12 ways, for example, as 13053769 + 87721956 = 3613^2 + 9366^2 .

It is not a de Polignac number, because 100775725 - 2¹¹ = 100773677 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100775729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69609 + ... + 71041.

It is an arithmetic number, because the mean of its divisors is an integer number (5445615).

Almost surely, 2^100775725 is an apocalyptic number.

It is an amenable number.

100775725 is a deficient number, since it is larger than the sum of its proper divisors (29919035).

100775725 is a wasteful number, since it uses less digits than its factorization.

100775725 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1569 (or 1564 counting only the distinct ones).

The product of its (nonzero) digits is 17150, while the sum is 34.

The square root of 100775725 is about 10038.7113216787. The cubic root of 100775725 is about 465.3559920854.

It can be divided in two parts, 1007 and 75725, that multiplied together give a triangular number (76255075 = T₁₂₃₄₉).

The spelling of 100775725 in words is "one hundred million, seven hundred seventy-five thousand, seven hundred twenty-five".