107022240 has 144 divisors (see below), whose sum is σ = 393375528. Its totient is φ = 26339328.

The previous prime is 107022229. The next prime is 107022271. The reversal of 107022240 is 42220701.

It can be written as a sum of positive squares in 4 ways, for example, as 71166096 + 35856144 = 8436^2 + 5988^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×107022240² = 22907519709235200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15862 + ... + 21578.

Almost surely, 2^107022240 is an apocalyptic number.

107022240 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 107022240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196687764).

107022240 is an abundant number, since it is smaller than the sum of its proper divisors (286353288).

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

107022240 is a wasteful number, since it uses less digits than its factorization.

107022240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5751 (or 5740 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 107022240 is about 10345.1553879098. The cubic root of 107022240 is about 474.7788296289.

Adding to 107022240 its reverse (42220701), we get a palindrome (149242941).

The spelling of 107022240 in words is "one hundred seven million, twenty-two thousand, two hundred forty".