106378664 has 32 divisors (see below), whose sum is σ = 228329280. Its totient is φ = 45515904.

The previous prime is 106378619. The next prime is 106378697. The reversal of 106378664 is 466873601.

It is a super-2 number, since 2×106378664² = 22632840308849792, 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, 45164 + ... + 47460.

It is an arithmetic number, because the mean of its divisors is an integer number (7135290).

Almost surely, 2^106378664 is an apocalyptic number.

106378664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

106378664 is an abundant number, since it is smaller than the sum of its proper divisors (121950616).

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

106378664 is a wasteful number, since it uses less digits than its factorization.

106378664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3137 (or 3133 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 41.

The square root of 106378664 is about 10314.0032964897. The cubic root of 106378664 is about 473.8252247212.

The spelling of 106378664 in words is "one hundred six million, three hundred seventy-eight thousand, six hundred sixty-four".