107038900224 has 285 divisors, whose sum is σ = 324362211151. Its totient is φ = 35177103360.

The previous prime is 107038900141. The next prime is 107038900237. The reversal of 107038900224 is 422009830701.

The square root of 107038900224 is 327168.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×107038900224² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1507590109 + ... + 1507590179.

Almost surely, 2^107038900224 is an apocalyptic number.

107038900224 is the 327168-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107038900224

107038900224 is an abundant number, since it is smaller than the sum of its proper divisors (217323310927).

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

107038900224 is an frugal number, since it uses more digits than its factorization.

107038900224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

Multiplying 107038900224 by its sum of digits (36), we get a square (3853400408064 = 1963008²).

107038900224 divided by its sum of digits (36) gives a square (2973302784 = 54528²).

The spelling of 107038900224 in words is "one hundred seven billion, thirty-eight million, nine hundred thousand, two hundred twenty-four".