102074791684849 has 9 divisors (see below), whose sum is σ = 102139564000971. Its totient is φ = 102010060437600.

The previous prime is 102074791684829. The next prime is 102074791684861. The reversal of 102074791684849 is 948486197470201.

It is a happy number.

The square root of 102074791684849 is 10103207.

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., 52093850806449 + 49980940878400 = 7217607^2 + 7069720^2 .

It is not a de Polignac number, because 102074791684849 - 2³⁷ = 101937352731377 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102074791684819) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 28299081004 + ... + 28299084610.

Almost surely, 2^{102074791684849} is an apocalyptic number.

102074791684849 is the 10103207-th square number.

102074791684849 is the 5051604-th centered octagonal number.

It is an amenable number.

102074791684849 is a deficient number, since it is larger than the sum of its proper divisors (64772316122).

102074791684849 is an frugal number, since it uses more digits than its factorization.

102074791684849 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12816 (or 6408 counting only the distinct ones).

The product of its (nonzero) digits is 195084288, while the sum is 70.

The spelling of 102074791684849 in words is "one hundred two trillion, seventy-four billion, seven hundred ninety-one million, six hundred eighty-four thousand, eight hundred forty-nine".