106131909 has 32 divisors (see below), whose sum is σ = 159304320. Its totient is φ = 62399232.

The previous prime is 106131899. The next prime is 106131919. The reversal of 106131909 is 909131601.

It is an interprime number because it is at equal distance from previous prime (106131899) and next prime (106131919).

It is not a de Polignac number, because 106131909 - 2²¹ = 104034757 is a prime.

It is a super-2 number, since 2×106131909² = 22527964215968562, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106131919) 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, 120579 + ... + 121455.

It is an arithmetic number, because the mean of its divisors is an integer number (4978260).

Almost surely, 2^106131909 is an apocalyptic number.

It is an amenable number.

106131909 is a deficient number, since it is larger than the sum of its proper divisors (53172411).

106131909 is a wasteful number, since it uses less digits than its factorization.

106131909 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1029.

The product of its (nonzero) digits is 1458, while the sum is 30.

The square root of 106131909 is about 10302.0342166001. The cubic root of 106131909 is about 473.4585808322.

The spelling of 106131909 in words is "one hundred six million, one hundred thirty-one thousand, nine hundred nine".