100561776 has 80 divisors (see below), whose sum is σ = 302552064. Its totient is φ = 28184832.

The previous prime is 100561771. The next prime is 100561777. The reversal of 100561776 is 677165001.

It is a super-2 number, since 2×100561776² = 20225341584548352, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100561771) 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 15 ways as a sum of consecutive naturals, for example, 14985 + ... + 20631.

Almost surely, 2^100561776 is an apocalyptic number.

100561776 is a gapful number since it is divisible by the number (16) 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 100561776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151276032).

100561776 is an abundant number, since it is smaller than the sum of its proper divisors (201990288).

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

100561776 is a wasteful number, since it uses less digits than its factorization.

100561776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5718 (or 5712 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 33.

The square root of 100561776 is about 10028.0494613858. The cubic root of 100561776 is about 465.0264385476.

The spelling of 100561776 in words is "one hundred million, five hundred sixty-one thousand, seven hundred seventy-six".