106251450125 has 16 divisors (see below), whose sum is σ = 133230287424. Its totient is φ = 84598290000.

The previous prime is 106251450091. The next prime is 106251450133. The reversal of 106251450125 is 521054152601.

It is not a de Polignac number, because 106251450125 - 2¹² = 106251446029 is a prime.

It is a super-2 number, since 2×106251450125² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 106251450091 and 106251450100.

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 15 ways as a sum of consecutive naturals, for example, 1987871 + ... + 2040620.

It is an arithmetic number, because the mean of its divisors is an integer number (8326892964).

Almost surely, 2^106251450125 is an apocalyptic number.

It is an amenable number.

106251450125 is a deficient number, since it is larger than the sum of its proper divisors (26978837299).

106251450125 is an equidigital number, since it uses as much as digits as its factorization.

106251450125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4028717 (or 4028707 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 32.

The spelling of 106251450125 in words is "one hundred six billion, two hundred fifty-one million, four hundred fifty thousand, one hundred twenty-five".