107211720 has 256 divisors, whose sum is σ = 412231680. Its totient is φ = 21657600.

The previous prime is 107211719. The next prime is 107211721. The reversal of 107211720 is 27112701.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (107211719) and next prime (107211721).

It is a super-2 number, since 2×107211720² = 22988705810716800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (107211721) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 378699 + ... + 378981.

It is an arithmetic number, because the mean of its divisors is an integer number (1610280).

Almost surely, 2^107211720 is an apocalyptic number.

107211720 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 107211720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206115840).

107211720 is an abundant number, since it is smaller than the sum of its proper divisors (305019960).

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

107211720 is a wasteful number, since it uses less digits than its factorization.

107211720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 196, while the sum is 21.

The square root of 107211720 is about 10354.3092478446. The cubic root of 107211720 is about 475.0588588190.

The spelling of 107211720 in words is "one hundred seven million, two hundred eleven thousand, seven hundred twenty".