106849377 has 24 divisors (see below), whose sum is σ = 161905536. Its totient is φ = 67823136.

The previous prime is 106849361. The next prime is 106849381. The reversal of 106849377 is 773948601.

It is not a de Polignac number, because 106849377 - 2⁴ = 106849361 is a prime.

It is a super-2 number, since 2×106849377² = 22833578730576258, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106849387) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12238 + ... + 19064.

It is an arithmetic number, because the mean of its divisors is an integer number (6746064).

Almost surely, 2^106849377 is an apocalyptic number.

It is an amenable number.

106849377 is a deficient number, since it is larger than the sum of its proper divisors (55056159).

106849377 is a wasteful number, since it uses less digits than its factorization.

106849377 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6917 (or 6914 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 106849377 is about 10336.7972312511. The cubic root of 106849377 is about 474.5230699535.

The spelling of 106849377 in words is "one hundred six million, eight hundred forty-nine thousand, three hundred seventy-seven".