106130101 has 32 divisors (see below), whose sum is σ = 136396800. Its totient is φ = 80196480.

The previous prime is 106130071. The next prime is 106130113. The reversal of 106130101 is 101031601.

It is a happy number.

It is not a de Polignac number, because 106130101 - 2⁵ = 106130069 is a prime.

It is a super-2 number, since 2×106130101² = 22527196676540402, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106134101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 443940 + ... + 444178.

It is an arithmetic number, because the mean of its divisors is an integer number (4262400).

Almost surely, 2^106130101 is an apocalyptic number.

106130101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

106130101 is a deficient number, since it is larger than the sum of its proper divisors (30266699).

106130101 is a wasteful number, since it uses less digits than its factorization.

106130101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409.

The product of its (nonzero) digits is 18, while the sum is 13.

The square root of 106130101 is about 10301.9464665664. The cubic root of 106130101 is about 473.4558922974.

Adding to 106130101 its reverse (101031601), we get a palindrome (207161702).

The spelling of 106130101 in words is "one hundred six million, one hundred thirty thousand, one hundred one".