106959672 has 96 divisors (see below), whose sum is σ = 301841280. Its totient is φ = 34179840.

The previous prime is 106959667. The next prime is 106959691. The reversal of 106959672 is 276959601.

It is a happy number.

It is a super-2 number, since 2×106959672² = 22880742868695168, 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 23 ways as a sum of consecutive naturals, for example, 385998 + ... + 386274.

It is an arithmetic number, because the mean of its divisors is an integer number (3144180).

Almost surely, 2^106959672 is an apocalyptic number.

106959672 is a gapful number since it is divisible by the number (12) 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 106959672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150920640).

106959672 is an abundant number, since it is smaller than the sum of its proper divisors (194881608).

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

106959672 is a wasteful number, since it uses less digits than its factorization.

106959672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 106959672 is about 10342.1309216235. The cubic root of 106959672 is about 474.6862888864.

The spelling of 106959672 in words is "one hundred six million, nine hundred fifty-nine thousand, six hundred seventy-two".