10705525924900 has 27 divisors (see below), whose sum is σ = 23231062258131. Its totient is φ = 4282197282240.

The previous prime is 10705525924867. The next prime is 10705525924937. The reversal of 10705525924900 is 942952550701.

The square root of 10705525924900 is 3271930.

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 3746524132836 + 6959001792064 = 1935594^2 + 2637992^2 .

It is a super-2 number, since 2×10705525924900² (a number of 27 digits) contains 22 as substring.

It is a Duffinian 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 8 ways as a sum of consecutive naturals, for example, 32555704 + ... + 32882896.

Almost surely, 2^{10705525924900} is an apocalyptic number.

10705525924900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10705525924900 is the 3271930-th square number.

It is an amenable number.

10705525924900 is an abundant number, since it is smaller than the sum of its proper divisors (12525536333231).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10705525924900 is an frugal number, since it uses more digits than its factorization.

10705525924900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654400 (or 327200 counting only the distinct ones).

The product of its (nonzero) digits is 1134000, while the sum is 49.

Multiplying 10705525924900 by its sum of digits (49), we get a square (524570770320100 = 22903510²).

The spelling of 10705525924900 in words is "ten trillion, seven hundred five billion, five hundred twenty-five million, nine hundred twenty-four thousand, nine hundred".