100105505501 has 8 divisors (see below), whose sum is σ = 100287620664. Its totient is φ = 99923443200.

The previous prime is 100105505483. The next prime is 100105505503. The reversal of 100105505501 is 105505501001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 508457401 + 99597048100 = 22549^2 + 315590^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100105505501 - 2³⁴ = 82925636317 is a prime.

It is a super-2 number, since 2×100105505501² (a number of 23 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 (100105505503) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7465535 + ... + 7478931.

It is an arithmetic number, because the mean of its divisors is an integer number (12535952583).

Almost surely, 2^100105505501 is an apocalyptic number.

It is an amenable number.

100105505501 is a deficient number, since it is larger than the sum of its proper divisors (182115163).

100105505501 is a wasteful number, since it uses less digits than its factorization.

100105505501 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26431.

The product of its (nonzero) digits is 625, while the sum is 23.

The spelling of 100105505501 in words is "one hundred billion, one hundred five million, five hundred five thousand, five hundred one".