106963968 has 44 divisors (see below), whose sum is σ = 285106160. Its totient is φ = 35653632.

The previous prime is 106963951. The next prime is 106963973. The reversal of 106963968 is 869369601.

It is a super-2 number, since 2×106963968² = 22882580900610048, which contains 22 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14338 + ... + 20481.

Almost surely, 2^106963968 is an apocalyptic number.

It is an amenable number.

106963968 is an abundant number, since it is smaller than the sum of its proper divisors (178142192).

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

106963968 is an equidigital number, since it uses as much as digits as its factorization.

106963968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34842 (or 34824 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 48.

The square root of 106963968 is about 10342.3386136792. The cubic root of 106963968 is about 474.6926440075.

The spelling of 106963968 in words is "one hundred six million, nine hundred sixty-three thousand, nine hundred sixty-eight".