106105061050 has 24 divisors (see below), whose sum is σ = 197498449692. Its totient is φ = 42411264000.

The previous prime is 106105061047. The next prime is 106105061053. The reversal of 106105061050 is 50160501601.

It is an interprime number because it is at equal distance from previous prime (106105061047) and next prime (106105061053).

It can be written as a sum of positive squares in 6 ways, for example, as 51750335169 + 54354725881 = 227487^2 + 233141^2 .

It is a super-2 number, since 2×106105061050² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (106105061053) 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, 699271 + ... + 837370.

Almost surely, 2^106105061050 is an apocalyptic number.

106105061050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106105061050 is a deficient number, since it is larger than the sum of its proper divisors (91393388642).

106105061050 is a wasteful number, since it uses less digits than its factorization.

106105061050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1538034 (or 1538029 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 25.

Adding to 106105061050 its reverse (50160501601), we get a palindrome (156265562651).

The spelling of 106105061050 in words is "one hundred six billion, one hundred five million, sixty-one thousand, fifty".