101484268425 has 36 divisors (see below), whose sum is σ = 182711490364. Its totient is φ = 53844480000.

The previous prime is 101484268393. The next prime is 101484268427. The reversal of 101484268425 is 524862484101.

101484268425 is a `hidden beast` number, since 1 + 0 + 148 + 426 + 84 + 2 + 5 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 682463376 + 100801805049 = 26124^2 + 317493^2 .

It is not a de Polignac number, because 101484268425 - 2⁵ = 101484268393 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 (101484268427) 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 35 ways as a sum of consecutive naturals, for example, 1125076 + ... + 1211925.

Almost surely, 2^101484268425 is an apocalyptic number.

101484268425 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101484268425 is a deficient number, since it is larger than the sum of its proper divisors (81227221939).

101484268425 is a wasteful number, since it uses less digits than its factorization.

101484268425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2337210 (or 2337202 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 101484268425 in words is "one hundred one billion, four hundred eighty-four million, two hundred sixty-eight thousand, four hundred twenty-five".