100505101 has 8 divisors (see below), whose sum is σ = 105180480. Its totient is φ = 95855232.

The previous prime is 100505081. The next prime is 100505113. The reversal of 100505101 is 101505001.

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 100505101 - 2¹⁹ = 99980813 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 (100505161) 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, 1930 + ... + 14308.

It is an arithmetic number, because the mean of its divisors is an integer number (13147560).

Almost surely, 2^100505101 is an apocalyptic number.

It is an amenable number.

100505101 is a deficient number, since it is larger than the sum of its proper divisors (4675379).

100505101 is a wasteful number, since it uses less digits than its factorization.

100505101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12755.

The product of its (nonzero) digits is 25, while the sum is 13.

The square root of 100505101 is about 10025.2232394097. The cubic root of 100505101 is about 464.9390616563.

It can be divided in two parts, 10050 and 5101, that added together give a palindrome (15151).

The spelling of 100505101 in words is "one hundred million, five hundred five thousand, one hundred one".