100737874484557 has 8 divisors (see below), whose sum is σ = 106732491507000. Its totient is φ = 94750908539904.

The previous prime is 100737874484473. The next prime is 100737874484563. The reversal of 100737874484557 is 755484478737001.

It can be written as a sum of positive squares in 4 ways, for example, as 1357332182116 + 99380542302441 = 1165046^2 + 9968979^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100737874484557 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100737874454557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1912742332 + ... + 1912794997.

It is an arithmetic number, because the mean of its divisors is an integer number (13341561438375).

Almost surely, 2^{100737874484557} is an apocalyptic number.

100737874484557 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

100737874484557 is a deficient number, since it is larger than the sum of its proper divisors (5994617022443).

100737874484557 is a wasteful number, since it uses less digits than its factorization.

100737874484557 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3825538895.

The product of its (nonzero) digits is 737587200, while the sum is 70.

The spelling of 100737874484557 in words is "one hundred trillion, seven hundred thirty-seven billion, eight hundred seventy-four million, four hundred eighty-four thousand, five hundred fifty-seven".