101879064225 has 135 divisors (see below), whose sum is σ = 194554876219. Its totient is φ = 52703827200.

The previous prime is 101879064211. The next prime is 101879064233. The reversal of 101879064225 is 522460978101.

The square root of 101879064225 is 319185.

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

It can be written as a sum of positive squares in 13 ways, for example, as 73177283169 + 28701781056 = 270513^2 + 169416^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 101879064225 - 2⁷ = 101879064097 is a prime.

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

It is a Duffinian number.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 588896239 + ... + 588896411.

Almost surely, 2^101879064225 is an apocalyptic number.

101879064225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

101879064225 is the 319185-th square number.

101879064225 is the 159593-rd centered octagonal number.

It is an amenable number.

101879064225 is a deficient number, since it is larger than the sum of its proper divisors (92675811994).

101879064225 is an frugal number, since it uses more digits than its factorization.

101879064225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 101879064225 in words is "one hundred one billion, eight hundred seventy-nine million, sixty-four thousand, two hundred twenty-five".