102180597649 has 27 divisors (see below), whose sum is σ = 112628219067. Its totient is φ = 92659613904.

The previous prime is 102180597599. The next prime is 102180597671. The reversal of 102180597649 is 946795081201.

The square root of 102180597649 is 319657.

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

It can be written as a sum of positive squares in only one way, i.e., 15115473025 + 87065124624 = 122945^2 + 295068^2 .

It is a de Polignac number, because none of the positive numbers 2^k-102180597649 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102180597596 and 102180597605.

It is not an unprimeable number, because it can be changed into a prime (102180597949) 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, 278421064 + ... + 278421430.

It is an arithmetic number, because the mean of its divisors is an integer number (4171415521).

Almost surely, 2^102180597649 is an apocalyptic number.

102180597649 is the 319657-th square number.

102180597649 is the 159829-th centered octagonal number.

It is an amenable number.

102180597649 is a deficient number, since it is larger than the sum of its proper divisors (10447621418).

102180597649 is an frugal number, since it uses more digits than its factorization.

102180597649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 894 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 52.

The spelling of 102180597649 in words is "one hundred two billion, one hundred eighty million, five hundred ninety-seven thousand, six hundred forty-nine".