100773333441 has 32 divisors (see below), whose sum is σ = 163565101440. Its totient is φ = 60812582400.

The previous prime is 100773333391. The next prime is 100773333469. The reversal of 100773333441 is 144333377001.

It is a de Polignac number, because none of the positive numbers 2^k-100773333441 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 100773333396 and 100773333405.

It is not an unprimeable number, because it can be changed into a prime (100773333541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 658920 + ... + 797321.

It is an arithmetic number, because the mean of its divisors is an integer number (5111409420).

Almost surely, 2^100773333441 is an apocalyptic number.

100773333441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100773333441 is a deficient number, since it is larger than the sum of its proper divisors (62791767999).

100773333441 is a wasteful number, since it uses less digits than its factorization.

100773333441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1456494 (or 1456488 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 36.

The spelling of 100773333441 in words is "one hundred billion, seven hundred seventy-three million, three hundred thirty-three thousand, four hundred forty-one".