106105376 has 48 divisors (see below), whose sum is σ = 230487768. Its totient is φ = 47769600.

The previous prime is 106105369. The next prime is 106105393. The reversal of 106105376 is 673501601.

It can be written as a sum of positive squares in 4 ways, for example, as 16613776 + 89491600 = 4076^2 + 9460^2 .

It is a super-2 number, since 2×106105376² = 22516701632202752, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13946 + ... + 20166.

Almost surely, 2^106105376 is an apocalyptic number.

106105376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106105376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115243884).

106105376 is an abundant number, since it is smaller than the sum of its proper divisors (124382392).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106105376 is a wasteful number, since it uses less digits than its factorization.

106105376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6285 (or 6277 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 29.

The square root of 106105376 is about 10300.7463807241. The cubic root of 106105376 is about 473.4191226282.

Adding to 106105376 its reverse (673501601), we get a palindrome (779606977).

The spelling of 106105376 in words is "one hundred six million, one hundred five thousand, three hundred seventy-six".