106968576 has 160 divisors (see below), whose sum is σ = 335478528. Its totient is φ = 29859840.

The previous prime is 106968571. The next prime is 106968577. The reversal of 106968576 is 675869601.

It is a super-2 number, since 2×106968576² = 22884552502935552, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106968571) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 219405 + ... + 219891.

Almost surely, 2^106968576 is an apocalyptic number.

106968576 is a gapful number since it is divisible by the number (16) 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 106968576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167739264).

106968576 is an abundant number, since it is smaller than the sum of its proper divisors (228509952).

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

106968576 is a wasteful number, since it uses less digits than its factorization.

106968576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The square root of 106968576 is about 10342.5613848795. The cubic root of 106968576 is about 474.6994604845.

The spelling of 106968576 in words is "one hundred six million, nine hundred sixty-eight thousand, five hundred seventy-six".