106101385 has 32 divisors (see below), whose sum is σ = 142222752. Its totient is φ = 75479040.

The previous prime is 106101361. The next prime is 106101397. The reversal of 106101385 is 583101601.

It can be written as a sum of positive squares in 16 ways, for example, as 19927296 + 86174089 = 4464^2 + 9283^2 .

It is not a de Polignac number, because 106101385 - 2²³ = 97712777 is a prime.

It is a super-2 number, since 2×106101385² = 22515007797836450, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 377445 + ... + 377725.

It is an arithmetic number, because the mean of its divisors is an integer number (4444461).

Almost surely, 2^106101385 is an apocalyptic number.

It is an amenable number.

106101385 is a deficient number, since it is larger than the sum of its proper divisors (36121367).

106101385 is a wasteful number, since it uses less digits than its factorization.

106101385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493.

The product of its (nonzero) digits is 720, while the sum is 25.

The square root of 106101385 is about 10300.5526550763. The cubic root of 106101385 is about 473.4131868957.

Adding to 106101385 its reverse (583101601), we get a palindrome (689202986).

The spelling of 106101385 in words is "one hundred six million, one hundred one thousand, three hundred eighty-five".