100745510508461 has 16 divisors (see below), whose sum is σ = 130520499446400. Its totient is φ = 75515431819968.

The previous prime is 100745510508443. The next prime is 100745510508529. The reversal of 100745510508461 is 164805015547001.

It is not a de Polignac number, because 100745510508461 - 2¹⁰ = 100745510507437 is a prime.

It is a super-2 number, since 2×100745510508461² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100745510504461) 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, 29134038326 + ... + 29134041783.

It is an arithmetic number, because the mean of its divisors is an integer number (8157531215400).

Almost surely, 2^{100745510508461} is an apocalyptic number.

It is an amenable number.

100745510508461 is a deficient number, since it is larger than the sum of its proper divisors (29774988937939).

100745510508461 is a wasteful number, since it uses less digits than its factorization.

100745510508461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58268080148.

The product of its (nonzero) digits is 672000, while the sum is 47.

The spelling of 100745510508461 in words is "one hundred trillion, seven hundred forty-five billion, five hundred ten million, five hundred eight thousand, four hundred sixty-one".