100678057349 has 16 divisors (see below), whose sum is σ = 105499743216. Its totient is φ = 95986944000.

The previous prime is 100678057313. The next prime is 100678057367. The reversal of 100678057349 is 943750876001.

It can be written as a sum of positive squares in 8 ways, for example, as 51845013025 + 48833044324 = 227695^2 + 220982^2 .

It is a cyclic number.

It is not a de Polignac number, because 100678057349 - 2¹² = 100678053253 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100678057297 and 100678057306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100678051349) 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 15 ways as a sum of consecutive naturals, for example, 223619 + ... + 501359.

It is an arithmetic number, because the mean of its divisors is an integer number (6593733951).

Almost surely, 2^100678057349 is an apocalyptic number.

It is an amenable number.

100678057349 is a deficient number, since it is larger than the sum of its proper divisors (4821685867).

100678057349 is a wasteful number, since it uses less digits than its factorization.

100678057349 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277976.

The product of its (nonzero) digits is 1270080, while the sum is 50.

The spelling of 100678057349 in words is "one hundred billion, six hundred seventy-eight million, fifty-seven thousand, three hundred forty-nine".