100105026621677 has 24 divisors (see below), whose sum is σ = 131415465843360. Its totient is φ = 75314126600160.

The previous prime is 100105026621659. The next prime is 100105026621703. The reversal of 100105026621677 is 776126620501001.

It is not a de Polignac number, because 100105026621677 - 2²⁶ = 100104959512813 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100105026621277) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3202115603 + ... + 3202146864.

It is an arithmetic number, because the mean of its divisors is an integer number (5475644410140).

Almost surely, 2^{100105026621677} is an apocalyptic number.

It is an amenable number.

100105026621677 is a deficient number, since it is larger than the sum of its proper divisors (31310439221683).

100105026621677 is a wasteful number, since it uses less digits than its factorization.

100105026621677 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6404262521 (or 6404262514 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 44.

The spelling of 100105026621677 in words is "one hundred trillion, one hundred five billion, twenty-six million, six hundred twenty-one thousand, six hundred seventy-seven".