102848490000 has 225 divisors, whose sum is σ = 360012800433. Its totient is φ = 27400608000.

The previous prime is 102848489983. The next prime is 102848490001. The reversal of 102848490000 is 94848201.

The square root of 102848490000 is 320700.

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

It can be written as a sum of positive squares in 7 ways, for example, as 81821169936 + 21027320064 = 286044^2 + 145008^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (102848490001) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 96209466 + ... + 96210534.

Almost surely, 2^102848490000 is an apocalyptic number.

102848490000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102848490000 is the 320700-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102848490000

102848490000 is an abundant number, since it is smaller than the sum of its proper divisors (257164310433).

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

102848490000 is an frugal number, since it uses more digits than its factorization.

102848490000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2172 (or 1079 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

Multiplying 102848490000 by its sum of digits (36), we get a square (3702545640000 = 1924200²).

102848490000 divided by its sum of digits (36) gives a square (2856902500 = 53450²).

The spelling of 102848490000 in words is "one hundred two billion, eight hundred forty-eight million, four hundred ninety thousand".