106993936 has 40 divisors (see below), whose sum is σ = 243327680. Its totient is φ = 44613504.

The previous prime is 106993897. The next prime is 106993961. The reversal of 106993936 is 639399601.

It is a super-2 number, since 2×106993936² = 22895404681544192, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8766 + ... + 17053.

It is an arithmetic number, because the mean of its divisors is an integer number (6083192).

Almost surely, 2^106993936 is an apocalyptic number.

106993936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106993936 is an abundant number, since it is smaller than the sum of its proper divisors (136333744).

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

106993936 is a wasteful number, since it uses less digits than its factorization.

106993936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25871 (or 25865 counting only the distinct ones).

The product of its (nonzero) digits is 236196, while the sum is 46.

The square root of 106993936 is about 10343.7873141321. The cubic root of 106993936 is about 474.7369712736.

The spelling of 106993936 in words is "one hundred six million, nine hundred ninety-three thousand, nine hundred thirty-six".