106100137 has 16 divisors (see below), whose sum is σ = 125177472. Its totient is φ = 88657920.

The previous prime is 106100119. The next prime is 106100143. The reversal of 106100137 is 731001601.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2^k-106100137 is a prime.

It is a super-2 number, since 2×106100137² = 22514478142837538, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106100147) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35308 + ... + 38194.

It is an arithmetic number, because the mean of its divisors is an integer number (7823592).

Almost surely, 2^106100137 is an apocalyptic number.

It is an amenable number.

106100137 is a deficient number, since it is larger than the sum of its proper divisors (19077335).

106100137 is a wasteful number, since it uses less digits than its factorization.

106100137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3168.

The product of its (nonzero) digits is 126, while the sum is 19.

The square root of 106100137 is about 10300.4920756243. The cubic root of 106100137 is about 473.4113307403.

Adding to 106100137 its reverse (731001601), we get a palindrome (837101738).

The spelling of 106100137 in words is "one hundred six million, one hundred thousand, one hundred thirty-seven".