106888896 has 196 divisors, whose sum is σ = 333146400. Its totient is φ = 33965568.

The previous prime is 106888891. The next prime is 106888921. The reversal of 106888896 is 698888601.

It is a super-2 number, since 2×106888896² = 22850472176197632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (106888891) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1352985 + ... + 1353063.

Almost surely, 2^106888896 is an apocalyptic number.

106888896 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 106888896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166573200).

106888896 is an abundant number, since it is smaller than the sum of its proper divisors (226257504).

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

106888896 is an frugal number, since it uses more digits than its factorization.

106888896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 54.

The square root of 106888896 is about 10338.7086234210. The cubic root of 106888896 is about 474.5815646503.

The spelling of 106888896 in words is "one hundred six million, eight hundred eighty-eight thousand, eight hundred ninety-six".