100773981 has 24 divisors (see below), whose sum is σ = 181481664. Its totient is φ = 52349760.

The previous prime is 100773961. The next prime is 100773989. The reversal of 100773981 is 189377001.

100773981 = 78² + 79² + ... + 671².

It is not a de Polignac number, because 100773981 - 2⁵ = 100773949 is a prime.

It is a super-2 number, since 2×100773981² = 20310790493176722, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100773989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72016 + ... + 73401.

It is an arithmetic number, because the mean of its divisors is an integer number (7561736).

Almost surely, 2^100773981 is an apocalyptic number.

100773981 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100773981 is a deficient number, since it is larger than the sum of its proper divisors (80707683).

100773981 is a wasteful number, since it uses less digits than its factorization.

100773981 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145441 (or 145438 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 36.

The square root of 100773981 is about 10038.6244575639. The cubic root of 100773981 is about 465.3533076244.

The spelling of 100773981 in words is "one hundred million, seven hundred seventy-three thousand, nine hundred eighty-one".