102737502674401 has 27 divisors (see below), whose sum is σ = 119961071845113. Its totient is φ = 87730304847360.

The previous prime is 102737502674383. The next prime is 102737502674419. The reversal of 102737502674401 is 104476205737201.

The square root of 102737502674401 is 10135951.

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

It is an interprime number because it is at equal distance from previous prime (102737502674383) and next prime (102737502674419).

It can be written as a sum of positive squares in 4 ways, for example, as 9723514245025 + 93013988429376 = 3118255^2 + 9644376^2 .

It is not a de Polignac number, because 102737502674401 - 2¹¹ = 102737502672353 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102737502674801) 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 26 ways as a sum of consecutive naturals, for example, 19937413041 + ... + 19937418193.

Almost surely, 2^{102737502674401} is an apocalyptic number.

102737502674401 is the 10135951-st square number.

102737502674401 is the 5067976-th centered octagonal number.

It is an amenable number.

102737502674401 is a deficient number, since it is larger than the sum of its proper divisors (17223569170712).

102737502674401 is an frugal number, since it uses more digits than its factorization.

102737502674401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10882 (or 5441 counting only the distinct ones).

The product of its (nonzero) digits is 1975680, while the sum is 49.

102737502674401 divided by its sum of digits (49) gives a square (2096683728049 = 1447993²).

The spelling of 102737502674401 in words is "one hundred two trillion, seven hundred thirty-seven billion, five hundred two million, six hundred seventy-four thousand, four hundred one".