102641362404525 has 108 divisors (see below), whose sum is σ = 219073147147764. Its totient is φ = 45777332160000.

The previous prime is 102641362404419. The next prime is 102641362404527. The reversal of 102641362404525 is 525404263146201.

It is a happy number.

102641362404525 is a `hidden beast` number, since 1 + 0 + 2 + 6 + 4 + 13 + 624 + 0 + 4 + 5 + 2 + 5 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 18969692087241 + 83671670317284 = 4355421^2 + 9147222^2 .

It is not a de Polignac number, because 102641362404525 - 2¹³ = 102641362396333 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102641362404527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 113083026 + ... + 113987075.

It is an arithmetic number, because the mean of its divisors is an integer number (2028455066183).

Almost surely, 2^{102641362404525} is an apocalyptic number.

102641362404525 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

102641362404525 is an abundant number, since it is smaller than the sum of its proper divisors (116431784743239).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102641362404525 is a wasteful number, since it uses less digits than its factorization.

102641362404525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227070172 (or 227070157 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 102641362404525 in words is "one hundred two trillion, six hundred forty-one billion, three hundred sixty-two million, four hundred four thousand, five hundred twenty-five".