106788864 has 192 divisors, whose sum is σ = 352235520. Its totient is φ = 28016640.

The previous prime is 106788863. The next prime is 106788901. The reversal of 106788864 is 468887601.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×106788864² = 22807722948820992, 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 (106788863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 559009 + ... + 559199.

It is an arithmetic number, because the mean of its divisors is an integer number (1834560).

Almost surely, 2^106788864 is an apocalyptic number.

106788864 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 106788864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176117760).

106788864 is an abundant number, since it is smaller than the sum of its proper divisors (245446656).

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

106788864 is a wasteful number, since it uses less digits than its factorization.

106788864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 48.

The square root of 106788864 is about 10333.8697495178. The cubic root of 106788864 is about 474.4334726848.

The spelling of 106788864 in words is "one hundred six million, seven hundred eighty-eight thousand, eight hundred sixty-four".