107002300 has 72 divisors (see below), whose sum is σ = 246512000. Its totient is φ = 40201920.

The previous prime is 107002277. The next prime is 107002307. The reversal of 107002300 is 3200701.

It is a super-2 number, since 2×107002300² = 22898984410580000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107002307) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 377959 + ... + 378241.

Almost surely, 2^107002300 is an apocalyptic number.

107002300 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 107002300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123256000).

107002300 is an abundant number, since it is smaller than the sum of its proper divisors (139509700).

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

107002300 is a wasteful number, since it uses less digits than its factorization.

107002300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 13.

The square root of 107002300 is about 10344.1916068874. The cubic root of 107002300 is about 474.7493414344.

The spelling of 107002300 in words is "one hundred seven million, two thousand, three hundred".