1007100224 has 56 divisors (see below), whose sum is σ = 2221675008. Its totient is φ = 449809920.

The previous prime is 1007100217. The next prime is 1007100229. The reversal of 1007100224 is 4220017001.

It is a super-2 number, since 2×1007100224² = 2028501722361700352, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1007100229) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6269 + ... + 45315.

It is an arithmetic number, because the mean of its divisors is an integer number (39672768).

Almost surely, 2^1007100224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1007100224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1110837504).

1007100224 is an abundant number, since it is smaller than the sum of its proper divisors (1214574784).

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

1007100224 is a wasteful number, since it uses less digits than its factorization.

1007100224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39103 (or 39093 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 17.

The square root of 1007100224 is about 31734.8424291031. The cubic root of 1007100224 is about 1002.3611618601.

Adding to 1007100224 its reverse (4220017001), we get a palindrome (5227117225).

The spelling of 1007100224 in words is "one billion, seven million, one hundred thousand, two hundred twenty-four".