100491502457025 has 27 divisors (see below), whose sum is σ = 179991715949539. Its totient is φ = 53595387780720.

The previous prime is 100491502456921. The next prime is 100491502457029. The reversal of 100491502457025 is 520754205194001.

The square root of 100491502457025 is 10024545.

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

100491502457025 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 9 + 1 + 50 + 2 + 4 + 570 + 25 = 666.

It can be written as a sum of positive squares in only one way, i.e., 36176940884529 + 64314561572496 = 6014727^2 + 8019636^2 .

It is not a de Polignac number, because 100491502457025 - 2¹³ = 100491502448833 is a prime.

It is a super-2 number, since 2×100491502457025² (a number of 29 digits) contains 22 as substring.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100491502457029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 150034024 + ... + 150702326.

Almost surely, 2^{100491502457025} is an apocalyptic number.

100491502457025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

100491502457025 is the 10024545-th square number.

100491502457025 is the 5012273-rd centered octagonal number.

It is an amenable number.

100491502457025 is a deficient number, since it is larger than the sum of its proper divisors (79500213492514).

100491502457025 is an frugal number, since it uses more digits than its factorization.

100491502457025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1336622 (or 668311 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The spelling of 100491502457025 in words is "one hundred trillion, four hundred ninety-one billion, five hundred two million, four hundred fifty-seven thousand, twenty-five".