107213730 has 128 divisors (see below), whose sum is σ = 298142208. Its totient is φ = 24440832.

The previous prime is 107213719. The next prime is 107213731. The reversal of 107213730 is 37312701.

It is a super-2 number, since 2×107213730² = 22989567801025800, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 107213730.

It is not an unprimeable number, because it can be changed into a prime (107213731) 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, 682812 + ... + 682968.

It is an arithmetic number, because the mean of its divisors is an integer number (2329236).

Almost surely, 2^107213730 is an apocalyptic number.

107213730 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 107213730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149071104).

107213730 is an abundant number, since it is smaller than the sum of its proper divisors (190928478).

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

107213730 is a wasteful number, since it uses less digits than its factorization.

107213730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300.

The product of its (nonzero) digits is 882, while the sum is 24.

The square root of 107213730 is about 10354.4063084273. The cubic root of 107213730 is about 475.0618275937.

The spelling of 107213730 in words is "one hundred seven million, two hundred thirteen thousand, seven hundred thirty".