106578059032225 has 81 divisors (see below), whose sum is σ = 151872254831577. Its totient is φ = 74132173632000.

The previous prime is 106578059032217. The next prime is 106578059032253. The reversal of 106578059032225 is 522230950875601.

The square root of 106578059032225 is 10323665.

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 7797279954321 + 98780779077904 = 2792361^2 + 9938852^2 .

It is not a de Polignac number, because 106578059032225 - 2³ = 106578059032217 is a prime.

It is a super-2 number, since 2×106578059032225² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (55).

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, 13059432145 + ... + 13059440305.

Almost surely, 2^{106578059032225} is an apocalyptic number.

106578059032225 is the 10323665-th square number.

106578059032225 is the 5161833-rd centered octagonal number.

It is an amenable number.

106578059032225 is a deficient number, since it is larger than the sum of its proper divisors (45294195799352).

106578059032225 is an frugal number, since it uses more digits than its factorization.

106578059032225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16400 (or 8200 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 55.

The spelling of 106578059032225 in words is "one hundred six trillion, five hundred seventy-eight billion, fifty-nine million, thirty-two thousand, two hundred twenty-five".