100064144574157 has 16 divisors (see below), whose sum is σ = 106050047290992. Its totient is φ = 94089346744320.

The previous prime is 100064144574073. The next prime is 100064144574203. The reversal of 100064144574157 is 751475441460001.

It can be written as a sum of positive squares in 8 ways, for example, as 27447739205481 + 72616405368676 = 5239059^2 + 8521526^2 .

It is a cyclic number.

It is not a de Polignac number, because 100064144574157 - 2¹⁹ = 100064144049869 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100064144574157.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100062144574157) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 174763813 + ... + 175335445.

It is an arithmetic number, because the mean of its divisors is an integer number (6628127955687).

Almost surely, 2^{100064144574157} is an apocalyptic number.

100064144574157 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

100064144574157 is a deficient number, since it is larger than the sum of its proper divisors (5985902716835).

100064144574157 is a wasteful number, since it uses less digits than its factorization.

100064144574157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581328.

The product of its (nonzero) digits is 1881600, while the sum is 49.

The spelling of 100064144574157 in words is "one hundred trillion, sixty-four billion, one hundred forty-four million, five hundred seventy-four thousand, one hundred fifty-seven".