110953884906225 has 135 divisors (see below), whose sum is σ = 208229738975643. Its totient is φ = 58406630873760.

The previous prime is 110953884906199. The next prime is 110953884906257. The reversal of 110953884906225 is 522609488359011.

The square root of 110953884906225 is 10533465.

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

110953884906225 is a `hidden beast` number, since 1 + 1 + 0 + 9 + 5 + 3 + 88 + 490 + 62 + 2 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 39943398566241 + 71010486339984 = 6320079^2 + 8426772^2 .

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

It is not a de Polignac number, because 110953884906225 - 2¹⁹ = 110953884381937 is a prime.

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, 37446466594 + ... + 37446469556.

Almost surely, 2^{110953884906225} is an apocalyptic number.

110953884906225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

110953884906225 is the 10533465-th square number.

110953884906225 is the 5266733-rd centered octagonal number.

It is an amenable number.

110953884906225 is a deficient number, since it is larger than the sum of its proper divisors (97275854069418).

110953884906225 is an frugal number, since it uses more digits than its factorization.

110953884906225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6106 (or 3050 counting only the distinct ones).

The product of its (nonzero) digits is 37324800, while the sum is 63.

The spelling of 110953884906225 in words is "one hundred ten trillion, nine hundred fifty-three billion, eight hundred eighty-four million, nine hundred six thousand, two hundred twenty-five".