100105011 has 8 divisors (see below), whose sum is σ = 148303760. Its totient is φ = 66736656.

The previous prime is 100105009. The next prime is 100105037. The reversal of 100105011 is 110501001.

It is not a de Polignac number, because 100105011 - 2¹ = 100105009 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100104984 and 100105002.

It is not an unprimeable number, because it can be changed into a prime (100105001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1853770 + ... + 1853823.

It is an arithmetic number, because the mean of its divisors is an integer number (18537970).

Almost surely, 2^100105011 is an apocalyptic number.

100105011 is a deficient number, since it is larger than the sum of its proper divisors (48198749).

100105011 is an equidigital number, since it uses as much as digits as its factorization.

100105011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3707602 (or 3707596 counting only the distinct ones).

The product of its (nonzero) digits is 5, while the sum is 9.

The square root of 100105011 is about 10005.2491723095. The cubic root of 100105011 is about 464.3212991514.

Adding to 100105011 its reverse (110501001), we get a palindrome (210606012).

It can be divided in two parts, 100 and 105011, that added together give a triangular number (105111 = T₄₅₈).

The spelling of 100105011 in words is "one hundred million, one hundred five thousand, eleven".