101478928005625 has 15 divisors (see below), whose sum is σ = 126808383138217. Its totient is φ = 81182940931000.

The previous prime is 101478928005493. The next prime is 101478928005641. The reversal of 101478928005625 is 526500829874101.

The square root of 101478928005625 is 10073675.

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

It can be written as a sum of positive squares in 2 ways, for example, as 7955947955641 + 93522980049984 = 2820629^2 + 9670728^2 .

It is not a de Polignac number, because 101478928005625 - 2¹⁵ = 101478927972857 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101478928005625.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 251640402 + ... + 252043348.

Almost surely, 2^{101478928005625} is an apocalyptic number.

101478928005625 is the 10073675-th square number.

101478928005625 is the 5036838-th centered octagonal number.

It is an amenable number.

101478928005625 is a deficient number, since it is larger than the sum of its proper divisors (25329455132592).

101478928005625 is an frugal number, since it uses more digits than its factorization.

101478928005625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 805914 (or 402952 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 58.

The spelling of 101478928005625 in words is "one hundred one trillion, four hundred seventy-eight billion, nine hundred twenty-eight million, five thousand, six hundred twenty-five".