10705166015625 has 99 divisors (see below), whose sum is σ = 19384313567853. Its totient is φ = 5693062500000.

The previous prime is 10705166015623. The next prime is 10705166015641. The reversal of 10705166015625 is 52651066150701.

It is a happy number.

The square root of 10705166015625 is 3271875.

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

10705166015625 is a `hidden beast` number, since 1 + 0 + 7 + 0 + 5 + 1 + 6 + 6 + 0 + 15 + 625 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 2161049942601 + 8544116073024 = 1470051^2 + 2923032^2 .

It is not a de Polignac number, because 10705166015625 - 2¹ = 10705166015623 is a prime.

It is a super-2 number, since 2×10705166015625² (a number of 27 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (10705166015623) by changing a digit.

It is a polite number, since it can be written in 98 ways as a sum of consecutive naturals, for example, 30673827951 + ... + 30673828299.

Almost surely, 2^{10705166015625} is an apocalyptic number.

10705166015625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10705166015625 is the 3271875-th square number.

10705166015625 is the 1635938-th centered octagonal number.

It is an amenable number.

10705166015625 is a deficient number, since it is larger than the sum of its proper divisors (8679147552228).

10705166015625 is an frugal number, since it uses more digits than its factorization.

10705166015625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 754 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 45.

The spelling of 10705166015625 in words is "ten trillion, seven hundred five billion, one hundred sixty-six million, fifteen thousand, six hundred twenty-five".