107012000 has 96 divisors (see below), whose sum is σ = 271724544. Its totient is φ = 41376000.

The previous prime is 107011979. The next prime is 107012033. The reversal of 107012000 is 210701.

It is a super-2 number, since 2×107012000² = 22903136288000000, which contains 22 as substring.

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, 123569 + ... + 124431.

It is an arithmetic number, because the mean of its divisors is an integer number (2830464).

Almost surely, 2^107012000 is an apocalyptic number.

107012000 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 107012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135862272).

107012000 is an abundant number, since it is smaller than the sum of its proper divisors (164712544).

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

107012000 is an equidigital number, since it uses as much as digits as its factorization.

107012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 919 (or 901 counting only the distinct ones).

The product of its (nonzero) digits is 14, while the sum is 11.

The square root of 107012000 is about 10344.6604584201. The cubic root of 107012000 is about 474.7636867007.

Adding to 107012000 its reverse (210701), we get a palindrome (107222701).

The spelling of 107012000 in words is "one hundred seven million, twelve thousand".