100226536144631 has 64 divisors (see below), whose sum is σ = 117638520773760. Its totient is φ = 84559165194240.

The previous prime is 100226536144607. The next prime is 100226536144639. The reversal of 100226536144631 is 136441635622001.

It is a cyclic number.

It is not a de Polignac number, because 100226536144631 - 2³⁴ = 100209356275447 is a prime.

It is a super-2 number, since 2×100226536144631² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100226536144639) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 684174365 + ... + 684320841.

It is an arithmetic number, because the mean of its divisors is an integer number (1838101887090).

Almost surely, 2^{100226536144631} is an apocalyptic number.

100226536144631 is a deficient number, since it is larger than the sum of its proper divisors (17411984629129).

100226536144631 is a wasteful number, since it uses less digits than its factorization.

100226536144631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147204.

The product of its (nonzero) digits is 622080, while the sum is 44.

The spelling of 100226536144631 in words is "one hundred trillion, two hundred twenty-six billion, five hundred thirty-six million, one hundred forty-four thousand, six hundred thirty-one".