106101275 has 24 divisors (see below), whose sum is σ = 150823680. Its totient is φ = 72531360.

The previous prime is 106101271. The next prime is 106101287. The reversal of 106101275 is 572101601.

It is not a de Polignac number, because 106101275 - 2² = 106101271 is a prime.

It is a super-2 number, since 2×106101275² = 22514961113251250, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106101275.

It is not an unprimeable number, because it can be changed into a prime (106101271) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72602 + ... + 74048.

It is an arithmetic number, because the mean of its divisors is an integer number (6284320).

Almost surely, 2^106101275 is an apocalyptic number.

106101275 is a deficient number, since it is larger than the sum of its proper divisors (44722405).

106101275 is a wasteful number, since it uses less digits than its factorization.

106101275 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1883 (or 1878 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 23.

The square root of 106101275 is about 10300.5473155556. The cubic root of 106101275 is about 473.4130232928.

Adding to 106101275 its reverse (572101601), we get a palindrome (678202876).

The spelling of 106101275 in words is "one hundred six million, one hundred one thousand, two hundred seventy-five".