106758912 has 216 divisors, whose sum is σ = 333834256. Its totient is φ = 30081024.

The previous prime is 106758871. The next prime is 106758913. The reversal of 106758912 is 219857601.

It is a super-2 number, since 2×106758912² = 22794930582847488, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106758913) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2885358 + ... + 2885394.

Almost surely, 2^106758912 is an apocalyptic number.

106758912 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 106758912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166917128).

106758912 is an abundant number, since it is smaller than the sum of its proper divisors (227075344).

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

106758912 is a wasteful number, since it uses less digits than its factorization.

106758912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 39.

The square root of 106758912 is about 10332.4204327931. The cubic root of 106758912 is about 474.3891123785.

It can be divided in two parts, 1067589 and 12, that added together give a palindrome (1067601).

The spelling of 106758912 in words is "one hundred six million, seven hundred fifty-eight thousand, nine hundred twelve".