106103101 has 12 divisors (see below), whose sum is σ = 115523508. Its totient is φ = 97403904.

The previous prime is 106103093. The next prime is 106103113. The reversal of 106103101 is 101301601.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 2979076 + 103124025 = 1726^2 + 10155^2 .

It is not a de Polignac number, because 106103101 - 2³ = 106103093 is a prime.

It is a super-2 number, since 2×106103101² = 22515736083632402, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106103401) 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, 30991 + ... + 34243.

It is an arithmetic number, because the mean of its divisors is an integer number (9626959).

Almost surely, 2^106103101 is an apocalyptic number.

It is an amenable number.

106103101 is a deficient number, since it is larger than the sum of its proper divisors (9420407).

106103101 is a wasteful number, since it uses less digits than its factorization.

106103101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3472 (or 3459 counting only the distinct ones).

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

The square root of 106103101 is about 10300.6359512411. The cubic root of 106103101 is about 473.4157390856.

Adding to 106103101 its reverse (101301601), we get a palindrome (207404702).

The spelling of 106103101 in words is "one hundred six million, one hundred three thousand, one hundred one".