106667904 has 96 divisors (see below), whose sum is σ = 329653800. Its totient is φ = 30471168.

The previous prime is 106667903. The next prime is 106667917. The reversal of 106667904 is 409766601.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×106667904² = 22756083487506432, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106667903) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15982 + ... + 21650.

Almost surely, 2^106667904 is an apocalyptic number.

106667904 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106667904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164826900).

106667904 is an abundant number, since it is smaller than the sum of its proper divisors (222985896).

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

106667904 is an equidigital number, since it uses as much as digits as its factorization.

106667904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5700 (or 5681 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 106667904 is about 10328.0154918552. The cubic root of 106667904 is about 474.2542743677.

The spelling of 106667904 in words is "one hundred six million, six hundred sixty-seven thousand, nine hundred four".