106679964 has 48 divisors (see below), whose sum is σ = 264642336. Its totient is φ = 33331200.

The previous prime is 106679933. The next prime is 106680001. The reversal of 106679964 is 469976601.

It is a super-2 number, since 2×106679964² = 22761229438082592, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56394 + ... + 58254.

It is an arithmetic number, because the mean of its divisors is an integer number (5513382).

Almost surely, 2^106679964 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106679964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132321168).

106679964 is an abundant number, since it is smaller than the sum of its proper divisors (157962372).

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

106679964 is a wasteful number, since it uses less digits than its factorization.

106679964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2166 (or 2164 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 48.

The square root of 106679964 is about 10328.5993242065. The cubic root of 106679964 is about 474.2721469448.

The spelling of 106679964 in words is "one hundred six million, six hundred seventy-nine thousand, nine hundred sixty-four".