106051407101 has 8 divisors (see below), whose sum is σ = 107031243000. Its totient is φ = 105071696640.

The previous prime is 106051407097. The next prime is 106051407107. The reversal of 106051407101 is 101704150601.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3862498201 + 102188908900 = 62149^2 + 319670^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 106051407101 - 2² = 106051407097 is a prime.

It is a super-2 number, since 2×106051407101² (a number of 23 digits) 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 (106051407107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3105761 + ... + 3139721.

It is an arithmetic number, because the mean of its divisors is an integer number (13378905375).

Almost surely, 2^106051407101 is an apocalyptic number.

It is an amenable number.

106051407101 is a deficient number, since it is larger than the sum of its proper divisors (979835899).

106051407101 is a wasteful number, since it uses less digits than its factorization.

106051407101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62719.

The product of its (nonzero) digits is 840, while the sum is 26.

Adding to 106051407101 its reverse (101704150601), we get a palindrome (207755557702).

The spelling of 106051407101 in words is "one hundred six billion, fifty-one million, four hundred seven thousand, one hundred one".