106853877 has 32 divisors (see below), whose sum is σ = 171225600. Its totient is φ = 65468736.

The previous prime is 106853867. The next prime is 106853881. The reversal of 106853877 is 778358601.

106853877 is a `hidden beast` number, since 106 + 8 + 538 + 7 + 7 = 666.

It is not a de Polignac number, because 106853877 - 2¹⁰ = 106852853 is a prime.

It is a super-2 number, since 2×106853877² = 22835502059862258, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106853867) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102324 + ... + 103362.

It is an arithmetic number, because the mean of its divisors is an integer number (5350800).

Almost surely, 2^106853877 is an apocalyptic number.

It is an amenable number.

106853877 is a deficient number, since it is larger than the sum of its proper divisors (64371723).

106853877 is a wasteful number, since it uses less digits than its factorization.

106853877 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1354 (or 1348 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The square root of 106853877 is about 10337.0148979287. The cubic root of 106853877 is about 474.5297314300.

It can be divided in two parts, 1068 and 53877, that added together give a palindrome (54945).

The spelling of 106853877 in words is "one hundred six million, eight hundred fifty-three thousand, eight hundred seventy-seven".