105348110625 has 40 divisors (see below), whose sum is σ = 195026696480. Its totient is φ = 56185650000.

The previous prime is 105348110599. The next prime is 105348110671. The reversal of 105348110625 is 526011843501.

105348110625 is a `hidden beast` number, since 1 + 0 + 53 + 481 + 106 + 25 = 666.

It is not a de Polignac number, because 105348110625 - 2⁹ = 105348110113 is a prime.

It is a super-2 number, since 2×105348110625² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 105348110625.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3104551 + ... + 3138300.

It is an arithmetic number, because the mean of its divisors is an integer number (4875667412).

Almost surely, 2^105348110625 is an apocalyptic number.

105348110625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105348110625 is a deficient number, since it is larger than the sum of its proper divisors (89678585855).

105348110625 is an frugal number, since it uses more digits than its factorization.

105348110625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6242880 (or 6242859 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 105348110625 in words is "one hundred five billion, three hundred forty-eight million, one hundred ten thousand, six hundred twenty-five".