106399680 has 112 divisors (see below), whose sum is σ = 340705440. Its totient is φ = 28131328.

The previous prime is 106399661. The next prime is 106399687. The reversal of 106399680 is 86993601.

It is a super-2 number, since 2×106399680² = 22641783808204800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106399687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131116 + ... + 131924.

Almost surely, 2^106399680 is an apocalyptic number.

106399680 is a gapful number since it is divisible by the number (10) 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 106399680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170352720).

106399680 is an abundant number, since it is smaller than the sum of its proper divisors (234305760).

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

106399680 is a wasteful number, since it uses less digits than its factorization.

106399680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 966 (or 956 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 42.

The square root of 106399680 is about 10315.0220552358. The cubic root of 106399680 is about 473.8564253864.

The spelling of 106399680 in words is "one hundred six million, three hundred ninety-nine thousand, six hundred eighty".