100190790916225 has 81 divisors (see below), whose sum is σ = 128570305764603. Its totient is φ = 77449778016000.

The previous prime is 100190790916217. The next prime is 100190790916241. The reversal of 100190790916225 is 522619097091001.

The square root of 100190790916225 is 10009535.

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 98405745281089 + 1785045635136 = 9919967^2 + 1336056^2 .

It is not a de Polignac number, because 100190790916225 - 2³ = 100190790916217 is a prime.

It is a Duffinian number.

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, 322156883820 + ... + 322156884130.

Almost surely, 2^{100190790916225} is an apocalyptic number.

100190790916225 is the 10009535-th square number.

100190790916225 is the 5004768-th centered octagonal number.

It is an amenable number.

100190790916225 is a deficient number, since it is larger than the sum of its proper divisors (28379514848378).

100190790916225 is an frugal number, since it uses more digits than its factorization.

100190790916225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1028 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 612360, while the sum is 52.

The spelling of 100190790916225 in words is "one hundred trillion, one hundred ninety billion, seven hundred ninety million, nine hundred sixteen thousand, two hundred twenty-five".