106986096 has 120 divisors (see below), whose sum is σ = 354949504. Its totient is φ = 30559680.

The previous prime is 106986091. The next prime is 106986101. The reversal of 106986096 is 690689601.

It is an interprime number because it is at equal distance from previous prime (106986091) and next prime (106986101).

It is a super-2 number, since 2×106986096² = 22892049474642432, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106986091) 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, 25251 + ... + 29181.

Almost surely, 2^106986096 is an apocalyptic number.

106986096 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 106986096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177474752).

106986096 is an abundant number, since it is smaller than the sum of its proper divisors (247963408).

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

106986096 is an equidigital number, since it uses as much as digits as its factorization.

106986096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3961 (or 3943 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 106986096 is about 10343.4083357470. The cubic root of 106986096 is about 474.7253755113.

The spelling of 106986096 in words is "one hundred six million, nine hundred eighty-six thousand, ninety-six".