106973280 has 72 divisors (see below), whose sum is σ = 365051232. Its totient is φ = 28525824.

The previous prime is 106973267. The next prime is 106973291. The reversal of 106973280 is 82379601.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×106973280² = 22886565267916800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35704 + ... + 38583.

It is an arithmetic number, because the mean of its divisors is an integer number (5070156).

Almost surely, 2^106973280 is an apocalyptic number.

106973280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106973280 is an abundant number, since it is smaller than the sum of its proper divisors (258077952).

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

106973280 is a wasteful number, since it uses less digits than its factorization.

106973280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74308 (or 74297 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 106973280 is about 10342.7887921972. The cubic root of 106973280 is about 474.7064187696.

The spelling of 106973280 in words is "one hundred six million, nine hundred seventy-three thousand, two hundred eighty".