105298444125 has 256 divisors, whose sum is σ = 248002560000. Its totient is φ = 42917299200.

The previous prime is 105298444117. The next prime is 105298444133. The reversal of 105298444125 is 521444892501.

105298444125 is a `hidden beast` number, since 1 + 0 + 529 + 84 + 4 + 41 + 2 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (105298444117) and next prime (105298444133).

It is not a de Polignac number, because 105298444125 - 2³ = 105298444117 is a prime.

It is a super-2 number, since 2×105298444125² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 7623976 + ... + 7637774.

It is an arithmetic number, because the mean of its divisors is an integer number (968760000).

Almost surely, 2^105298444125 is an apocalyptic number.

105298444125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105298444125 is an abundant number, since it is smaller than the sum of its proper divisors (142704115875).

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

105298444125 is a wasteful number, since it uses less digits than its factorization.

105298444125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13866 (or 13850 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 105298444125 in words is "one hundred five billion, two hundred ninety-eight million, four hundred forty-four thousand, one hundred twenty-five".