107373645225 has 384 divisors, whose sum is σ = 256714997760. Its totient is φ = 42698016000.

The previous prime is 107373645187. The next prime is 107373645227. The reversal of 107373645225 is 522546373701.

107373645225 is a `hidden beast` number, since 10 + 7 + 373 + 6 + 45 + 225 = 666.

It is not a de Polignac number, because 107373645225 - 2⁶ = 107373645161 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (107373645227) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 165955852 + ... + 165956498.

It is an arithmetic number, because the mean of its divisors is an integer number (668528640).

Almost surely, 2^107373645225 is an apocalyptic number.

107373645225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

107373645225 is an abundant number, since it is smaller than the sum of its proper divisors (149341352535).

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

107373645225 is a wasteful number, since it uses less digits than its factorization.

107373645225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 818 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 45.

The spelling of 107373645225 in words is "one hundred seven billion, three hundred seventy-three million, six hundred forty-five thousand, two hundred twenty-five".