100525965 has 16 divisors (see below), whose sum is σ = 162347328. Its totient is φ = 53111936.

The previous prime is 100525949. The next prime is 100525967. The reversal of 100525965 is 569525001.

It is a cyclic number.

It is not a de Polignac number, because 100525965 - 2⁴ = 100525949 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 (100525967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29712 + ... + 32921.

It is an arithmetic number, because the mean of its divisors is an integer number (10146708).

Almost surely, 2^100525965 is an apocalyptic number.

100525965 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100525965 is a deficient number, since it is larger than the sum of its proper divisors (61821363).

100525965 is a wasteful number, since it uses less digits than its factorization.

100525965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62748.

The product of its (nonzero) digits is 13500, while the sum is 33.

The square root of 100525965 is about 10026.2637607436. The cubic root of 100525965 is about 464.9712318889.

The spelling of 100525965 in words is "one hundred million, five hundred twenty-five thousand, nine hundred sixty-five".