100105311 has 8 divisors (see below), whose sum is σ = 134273664. Its totient is φ = 66336920.

The previous prime is 100105301. The next prime is 100105321. The reversal of 100105311 is 113501001.

It is an interprime number because it is at equal distance from previous prime (100105301) and next prime (100105321).

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 100105311 - 2⁷ = 100105183 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100105301) 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, 99405 + ... + 100406.

It is an arithmetic number, because the mean of its divisors is an integer number (16784208).

Almost surely, 2^100105311 is an apocalyptic number.

100105311 is a deficient number, since it is larger than the sum of its proper divisors (34168353).

100105311 is a wasteful number, since it uses less digits than its factorization.

100105311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199981.

The product of its (nonzero) digits is 15, while the sum is 12.

The square root of 100105311 is about 10005.2641644286. The cubic root of 100105311 is about 464.3217629852.

Adding to 100105311 its reverse (113501001), we get a palindrome (213606312).

The spelling of 100105311 in words is "one hundred million, one hundred five thousand, three hundred eleven".