100069125 has 48 divisors (see below), whose sum is σ = 180423360. Its totient is φ = 49233600.

The previous prime is 100069121. The next prime is 100069129. The reversal of 100069125 is 521960001.

It is an interprime number because it is at equal distance from previous prime (100069121) and next prime (100069129).

It is not a de Polignac number, because 100069125 - 2² = 100069121 is a prime.

It is a super-3 number, since 3×100069125³ (a number of 25 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100069095 and 100069104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100069121) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 62586 + ... + 64164.

It is an arithmetic number, because the mean of its divisors is an integer number (3758820).

Almost surely, 2^100069125 is an apocalyptic number.

100069125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100069125 is a deficient number, since it is larger than the sum of its proper divisors (80354235).

100069125 is a wasteful number, since it uses less digits than its factorization.

100069125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1623 (or 1600 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 24.

The square root of 100069125 is about 10003.4556529231. The cubic root of 100069125 is about 464.2658086704.

It can be divided in two parts, 1000 and 69125, that added together give a triangular number (70125 = T₃₇₄).

The spelling of 100069125 in words is "one hundred million, sixty-nine thousand, one hundred twenty-five".