100069872 has 120 divisors (see below), whose sum is σ = 309396864. Its totient is φ = 27299712.

The previous prime is 100069859. The next prime is 100069873. The reversal of 100069872 is 278960001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100069873) 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 23 ways as a sum of consecutive naturals, for example, 177463 + ... + 178025.

Almost surely, 2^100069872 is an apocalyptic number.

100069872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100069872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154698432).

100069872 is an abundant number, since it is smaller than the sum of its proper divisors (209326992).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100069872 is a wasteful number, since it uses less digits than its factorization.

100069872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 100069872 is about 10003.4929899511. The cubic root of 100069872 is about 464.2669638908.

The spelling of 100069872 in words is "one hundred million, sixty-nine thousand, eight hundred seventy-two".