106315101 has 12 divisors (see below), whose sum is σ = 153726300. Its totient is φ = 70802880.

The previous prime is 106315031. The next prime is 106315103. The reversal of 106315101 is 101513601.

It can be written as a sum of positive squares in 2 ways, for example, as 102030201 + 4284900 = 10101^2 + 2070^2 .

It is not a de Polignac number, because 106315101 - 2⁷ = 106314973 is a prime.

It is a super-2 number, since 2×106315101² = 22605801401280402, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106315103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3811 + ... + 15071.

It is an arithmetic number, because the mean of its divisors is an integer number (12810525).

Almost surely, 2^106315101 is an apocalyptic number.

It is an amenable number.

106315101 is a deficient number, since it is larger than the sum of its proper divisors (47411199).

106315101 is a wasteful number, since it uses less digits than its factorization.

106315101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12316 (or 12313 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 106315101 is about 10310.9214428197. The cubic root of 106315101 is about 473.7308331322.

Adding to 106315101 its reverse (101513601), we get a palindrome (207828702).

The spelling of 106315101 in words is "one hundred six million, three hundred fifteen thousand, one hundred one".