100561888 has 96 divisors (see below), whose sum is σ = 239500800. Its totient is φ = 40634880.

The previous prime is 100561873. The next prime is 100561891. The reversal of 100561888 is 888165001.

It is a super-2 number, since 2×100561888² = 20225386636249088, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 674838 + ... + 674986.

It is an arithmetic number, because the mean of its divisors is an integer number (2494800).

Almost surely, 2^100561888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100561888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119750400).

100561888 is an abundant number, since it is smaller than the sum of its proper divisors (138938912).

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

100561888 is a wasteful number, since it uses less digits than its factorization.

100561888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 37.

The square root of 100561888 is about 10028.0550457205. The cubic root of 100561888 is about 465.0266111876.

The spelling of 100561888 in words is "one hundred million, five hundred sixty-one thousand, eight hundred eighty-eight".