106555680 has 432 divisors, whose sum is σ = 468441792. Its totient is φ = 21427200.

The previous prime is 106555651. The next prime is 106555681. The reversal of 106555680 is 86555601.

It is a super-2 number, since 2×106555680² = 22708225880524800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (106555681) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3437265 + ... + 3437295.

It is an arithmetic number, because the mean of its divisors is an integer number (1084356).

Almost surely, 2^106555680 is an apocalyptic number.

106555680 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 106555680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234220896).

106555680 is an abundant number, since it is smaller than the sum of its proper divisors (361886112).

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

106555680 is a wasteful number, since it uses less digits than its factorization.

106555680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The square root of 106555680 is about 10322.5810725806. The cubic root of 106555680 is about 474.0878969614.

The spelling of 106555680 in words is "one hundred six million, five hundred fifty-five thousand, six hundred eighty".