106113375 has 64 divisors (see below), whose sum is σ = 204871680. Its totient is φ = 54093600.

The previous prime is 106113361. The next prime is 106113389. The reversal of 106113375 is 573311601.

106113375 is a `hidden beast` number, since 10 + 611 + 3 + 37 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (106113361) and next prime (106113389).

It is not a de Polignac number, because 106113375 - 2¹² = 106109279 is a prime.

It is a super-2 number, since 2×106113375² = 22520096707781250, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 76942 + ... + 78308.

It is an arithmetic number, because the mean of its divisors is an integer number (3201120).

Almost surely, 2^106113375 is an apocalyptic number.

106113375 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106113375 is a deficient number, since it is larger than the sum of its proper divisors (98758305).

106113375 is a wasteful number, since it uses less digits than its factorization.

106113375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1414 (or 1398 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 106113375 is about 10301.1346462416. The cubic root of 106113375 is about 473.4310189290.

Adding to 106113375 its reverse (573311601), we get a palindrome (679424976).

It can be divided in two parts, 1061133 and 75, that added together give a cube (1061208 = 102³).

The spelling of 106113375 in words is "one hundred six million, one hundred thirteen thousand, three hundred seventy-five".