100825077 has 16 divisors (see below), whose sum is σ = 147663360. Its totient is φ = 60909552.

The previous prime is 100825063. The next prime is 100825091. The reversal of 100825077 is 770528001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (100825063) and next prime (100825091).

It is not a de Polignac number, because 100825077 - 2⁴ = 100825061 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100825097) 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, 37143 + ... + 39764.

It is an arithmetic number, because the mean of its divisors is an integer number (9228960).

Almost surely, 2^100825077 is an apocalyptic number.

It is an amenable number.

100825077 is a deficient number, since it is larger than the sum of its proper divisors (46838283).

100825077 is a wasteful number, since it uses less digits than its factorization.

100825077 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76952.

The product of its (nonzero) digits is 3920, while the sum is 30.

The square root of 100825077 is about 10041.1691052387. The cubic root of 100825077 is about 465.4319445728.

The spelling of 100825077 in words is "one hundred million, eight hundred twenty-five thousand, seventy-seven".