107006214120 has 256 divisors, whose sum is σ = 353687040000. Its totient is φ = 25734398976.

The previous prime is 107006214097. The next prime is 107006214143. The reversal of 107006214120 is 21412600701.

It is an interprime number because it is at equal distance from previous prime (107006214097) and next prime (107006214143).

It is a super-2 number, since 2×107006214120² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 62981031 + ... + 62982729.

It is an arithmetic number, because the mean of its divisors is an integer number (1381590000).

Almost surely, 2^107006214120 is an apocalyptic number.

107006214120 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 107006214120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176843520000).

107006214120 is an abundant number, since it is smaller than the sum of its proper divisors (246680825880).

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

107006214120 is a wasteful number, since it uses less digits than its factorization.

107006214120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2632 (or 2628 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

Adding to 107006214120 its reverse (21412600701), we get a palindrome (128418814821).

The spelling of 107006214120 in words is "one hundred seven billion, six million, two hundred fourteen thousand, one hundred twenty".