106919856 has 30 divisors (see below), whose sum is σ = 299227500. Its totient is φ = 35639904.

The previous prime is 106919849. The next prime is 106919909. The reversal of 106919856 is 658919601.

It is a super-2 number, since 2×106919856² = 22863711214121472, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 371106 + ... + 371393.

It is an arithmetic number, because the mean of its divisors is an integer number (9974250).

Almost surely, 2^106919856 is an apocalyptic number.

106919856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106919856 is an abundant number, since it is smaller than the sum of its proper divisors (192307644).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106919856 is a wasteful number, since it uses less digits than its factorization.

106919856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742513 (or 742504 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The square root of 106919856 is about 10340.2058006599. The cubic root of 106919856 is about 474.6273805315.

The spelling of 106919856 in words is "one hundred six million, nine hundred nineteen thousand, eight hundred fifty-six".