107970000 has 200 divisors, whose sum is σ = 360259680. Its totient is φ = 27840000.

The previous prime is 107969921. The next prime is 107970001. The reversal of 107970000 is 79701.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107970001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1769970 + ... + 1770030.

Almost surely, 2^107970000 is an apocalyptic number.

107970000 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 107970000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180129840).

107970000 is an abundant number, since it is smaller than the sum of its proper divisors (252289680).

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

107970000 is an equidigital number, since it uses as much as digits as its factorization.

107970000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 441, while the sum is 24.

The square root of 107970000 is about 10390.8613694919. The cubic root of 107970000 is about 476.1762170333.

The spelling of 107970000 in words is "one hundred seven million, nine hundred seventy thousand".