100359642777156 has 243 divisors, whose sum is σ = 298300134747069. Its totient is φ = 28367032813056.

The previous prime is 100359642777071. The next prime is 100359642777187. The reversal of 100359642777156 is 651777246953001.

The square root of 100359642777156 is 10017966.

It is a perfect power (a square), and thus also a powerful number.

100359642777156 is a `hidden beast` number, since 1 + 0 + 0 + 3 + 5 + 96 + 427 + 7 + 71 + 56 = 666.

It can be written as a sum of positive squares in only one way, i.e., 45065308824900 + 55294333952256 = 6713070^2 + 7436016^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 100359642777093 and 100359642777102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 40813192255 + ... + 40813194713.

Almost surely, 2^{100359642777156} is an apocalyptic number.

100359642777156 is the 10017966-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100359642777156

100359642777156 is an abundant number, since it is smaller than the sum of its proper divisors (197940491969913).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100359642777156 is an frugal number, since it uses more digits than its factorization.

100359642777156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5136 (or 2568 counting only the distinct ones).

The product of its (nonzero) digits is 66679200, while the sum is 63.

The spelling of 100359642777156 in words is "one hundred trillion, three hundred fifty-nine billion, six hundred forty-two million, seven hundred seventy-seven thousand, one hundred fifty-six".