106124919873025 has 81 divisors (see below), whose sum is σ = 136956205389571. Its totient is φ = 81575249267680.

The previous prime is 106124919873019. The next prime is 106124919873059. The reversal of 106124919873025 is 520378919421601.

The square root of 106124919873025 is 10301695.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 38204971154289 + 67919948718736 = 6181017^2 + 8241356^2 .

It is not a de Polignac number, because 106124919873025 - 2¹³ = 106124919864833 is a prime.

It is a super-2 number, since 2×106124919873025² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 142833000804 + ... + 142833001546.

It is a 2-persistent number, because it is pandigital, and so is 2⋅106124919873025 = 212249839746050, but 3⋅106124919873025 = 318374759619075 is not.

Almost surely, 2^{106124919873025} is an apocalyptic number.

106124919873025 is the 10301695-th square number.

106124919873025 is the 5150848-th centered octagonal number.

It is an amenable number.

106124919873025 is a deficient number, since it is larger than the sum of its proper divisors (30831285516546).

106124919873025 is an frugal number, since it uses more digits than its factorization.

106124919873025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1708 (or 854 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 58.

The spelling of 106124919873025 in words is "one hundred six trillion, one hundred twenty-four billion, nine hundred nineteen million, eight hundred seventy-three thousand, twenty-five".