100601106105 has 64 divisors (see below), whose sum is σ = 168991764480. Its totient is φ = 51006971136.

The previous prime is 100601106049. The next prime is 100601106107. The reversal of 100601106105 is 501601106001.

It is not a de Polignac number, because 100601106105 - 2⁶ = 100601106041 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100601106107) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 44375182 + ... + 44377448.

It is an arithmetic number, because the mean of its divisors is an integer number (2640496320).

Almost surely, 2^100601106105 is an apocalyptic number.

100601106105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100601106105 is a deficient number, since it is larger than the sum of its proper divisors (68390658375).

100601106105 is a wasteful number, since it uses less digits than its factorization.

100601106105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3030.

The product of its (nonzero) digits is 180, while the sum is 21.

The spelling of 100601106105 in words is "one hundred billion, six hundred one million, one hundred six thousand, one hundred five".