107973000 has 320 divisors, whose sum is σ = 398661120. Its totient is φ = 27216000.

The previous prime is 107972981. The next prime is 107973007. The reversal of 107973000 is 379701.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (107973007) 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 79 ways as a sum of consecutive naturals, for example, 2510979 + ... + 2511021.

It is an arithmetic number, because the mean of its divisors is an integer number (1245816).

Almost surely, 2^107973000 is an apocalyptic number.

107973000 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 107973000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199330560).

107973000 is an abundant number, since it is smaller than the sum of its proper divisors (290688120).

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

107973000 is a wasteful number, since it uses less digits than its factorization.

107973000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 1323, while the sum is 27.

The square root of 107973000 is about 10391.0057261076. The cubic root of 107973000 is about 476.1806272566.

The spelling of 107973000 in words is "one hundred seven million, nine hundred seventy-three thousand".