106050760629025 has 27 divisors (see below), whose sum is σ = 138789705132633. Its totient is φ = 80374571856000.

The previous prime is 106050760628977. The next prime is 106050760629041. The reversal of 106050760629025 is 520926067050601.

The square root of 106050760629025 is 10298095.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1749395086609 + 104301365542416 = 1322647^2 + 10212804^2 .

It is not a de Polignac number, because 106050760629025 - 2²³ = 106050752240417 is a prime.

It is a super-2 number, since 2×106050760629025² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 106050760629025.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 978264825 + ... + 978373225.

Almost surely, 2^{106050760629025} is an apocalyptic number.

106050760629025 is the 10298095-th square number.

106050760629025 is the 5149048-th centered octagonal number.

It is an amenable number.

106050760629025 is a deficient number, since it is larger than the sum of its proper divisors (32738944503608).

106050760629025 is an frugal number, since it uses more digits than its factorization.

106050760629025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216850 (or 108425 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 49.

The spelling of 106050760629025 in words is "one hundred six trillion, fifty billion, seven hundred sixty million, six hundred twenty-nine thousand, twenty-five".