107412000 has 96 divisors (see below), whose sum is σ = 351921024. Its totient is φ = 28640000.

The previous prime is 107411987. The next prime is 107412017. The reversal of 107412000 is 214701.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 7525 + ... + 16475.

It is an arithmetic number, because the mean of its divisors is an integer number (3665844).

Almost surely, 2^107412000 is an apocalyptic number.

107412000 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 107412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175960512).

107412000 is an abundant number, since it is smaller than the sum of its proper divisors (244509024).

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

107412000 is an equidigital number, since it uses as much as digits as its factorization.

107412000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8979 (or 8961 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 15.

The square root of 107412000 is about 10363.9760709874. The cubic root of 107412000 is about 475.3544906885.

Adding to 107412000 its reverse (214701), we get a palindrome (107626701).

The spelling of 107412000 in words is "one hundred seven million, four hundred twelve thousand".