106973680 has 120 divisors (see below), whose sum is σ = 280825776. Its totient is φ = 37847040.

The previous prime is 106973651. The next prime is 106973681. The reversal of 106973680 is 86379601.

It is a super-2 number, since 2×106973680² = 22886736425484800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106973681) 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 23 ways as a sum of consecutive naturals, for example, 416112 + ... + 416368.

Almost surely, 2^106973680 is an apocalyptic number.

106973680 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 106973680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140412888).

106973680 is an abundant number, since it is smaller than the sum of its proper divisors (173852096).

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

106973680 is a wasteful number, since it uses less digits than its factorization.

106973680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 40.

The square root of 106973680 is about 10342.8081293235. The cubic root of 106973680 is about 474.7070104510.

The spelling of 106973680 in words is "one hundred six million, nine hundred seventy-three thousand, six hundred eighty".