100026080361 has 15 divisors (see below), whose sum is σ = 149425927783. Its totient is φ = 66682155960.

The previous prime is 100026080351. The next prime is 100026080387. The reversal of 100026080361 is 163080620001.

The square root of 100026080361 is 316269.

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

It can be written as a sum of positive squares in only one way, i.e., 41587852761 + 58438227600 = 203931^2 + 241740^2 .

It is not a de Polignac number, because 100026080361 - 2²⁵ = 99992525929 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100026080321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 2828851 + ... + 2863991.

Almost surely, 2^100026080361 is an apocalyptic number.

100026080361 is the 316269-th square number.

100026080361 is the 158135-th centered octagonal number.

It is an amenable number.

100026080361 is a deficient number, since it is larger than the sum of its proper divisors (49399847422).

100026080361 is an frugal number, since it uses more digits than its factorization.

100026080361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70294 (or 35144 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 100026080361 in words is "one hundred billion, twenty-six million, eighty thousand, three hundred sixty-one".