101920105 has 32 divisors (see below), whose sum is σ = 144131328. Its totient is φ = 67737600.

The previous prime is 101920097. The next prime is 101920109. The reversal of 101920105 is 501029101.

It is not a de Polignac number, because 101920105 - 2³ = 101920097 is a prime.

It is a super-2 number, since 2×101920105² = 20775415606422050, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101920109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 362565 + ... + 362845.

It is an arithmetic number, because the mean of its divisors is an integer number (4504104).

Almost surely, 2^101920105 is an apocalyptic number.

It is an amenable number.

101920105 is a deficient number, since it is larger than the sum of its proper divisors (42211223).

101920105 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (101920104) it forms an eRAP, since the sums of their prime factors are consecutive (576 and 577).

101920105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577.

The product of its (nonzero) digits is 90, while the sum is 19.

The square root of 101920105 is about 10095.5487716122. The cubic root of 101920105 is about 467.1108489101.

Adding to 101920105 its reverse (501029101), we get a palindrome (602949206).

The spelling of 101920105 in words is "one hundred one million, nine hundred twenty thousand, one hundred five".