101464546225 has 81 divisors (see below), whose sum is σ = 154789025067. Its totient is φ = 65776203360.

The previous prime is 101464546217. The next prime is 101464546247. The reversal of 101464546225 is 522645464101.

The square root of 101464546225 is 318535.

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., 36527236641 + 64937309584 = 191121^2 + 254828^2 .

It is not a de Polignac number, because 101464546225 - 2³ = 101464546217 is a prime.

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, 211825536 + ... + 211826014.

Almost surely, 2^101464546225 is an apocalyptic number.

101464546225 is the 318535-th square number.

101464546225 is the 159268-th centered octagonal number.

It is an amenable number.

101464546225 is a deficient number, since it is larger than the sum of its proper divisors (53324478842).

101464546225 is an frugal number, since it uses more digits than its factorization.

101464546225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1020 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 40.

The spelling of 101464546225 in words is "one hundred one billion, four hundred sixty-four million, five hundred forty-six thousand, two hundred twenty-five".