105053243625 has 288 divisors, whose sum is σ = 218774215296. Its totient is φ = 50252400000.

The previous prime is 105053243611. The next prime is 105053243629. The reversal of 105053243625 is 526342350501.

105053243625 is a `hidden beast` number, since 1 + 0 + 5 + 0 + 5 + 3 + 24 + 3 + 625 = 666.

It is not a de Polignac number, because 105053243625 - 2⁵ = 105053243593 is a prime.

It is a super-2 number, since 2×105053243625² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105053243625.

It is not an unprimeable number, because it can be changed into a prime (105053243629) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 371212734 + ... + 371213016.

It is an arithmetic number, because the mean of its divisors is an integer number (759632692).

Almost surely, 2^105053243625 is an apocalyptic number.

105053243625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105053243625 is an abundant number, since it is smaller than the sum of its proper divisors (113720971671).

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

105053243625 is a wasteful number, since it uses less digits than its factorization.

105053243625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 105053243625 in words is "one hundred five billion, fifty-three million, two hundred forty-three thousand, six hundred twenty-five".