10211506704 has 225 divisors, whose sum is σ = 34466329821. Its totient is φ = 2910297600.

The previous prime is 10211506691. The next prime is 10211506729. The reversal of 10211506704 is 40760511201.

It is a happy number.

The square root of 10211506704 is 101052.

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., 10109900304 + 101606400 = 100548^2 + 10080^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 25464904 + ... + 25465304.

Almost surely, 2^10211506704 is an apocalyptic number.

10211506704 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

10211506704 is the 101052-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10211506704

10211506704 is an abundant number, since it is smaller than the sum of its proper divisors (24254823117).

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

10211506704 is an frugal number, since it uses more digits than its factorization.

10211506704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 836 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The spelling of 10211506704 in words is "ten billion, two hundred eleven million, five hundred six thousand, seven hundred four".