102898190880 has 216 divisors, whose sum is σ = 362837445516. Its totient is φ = 26554014720.

The previous prime is 102898190873. The next prime is 102898190881. The reversal of 102898190880 is 88091898201.

It can be written as a sum of positive squares in 2 ways, for example, as 91018062864 + 11880128016 = 301692^2 + 108996^2 .

It is not an unprimeable number, because it can be changed into a prime (102898190881) 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 35 ways as a sum of consecutive naturals, for example, 1346662 + ... + 1421018.

Almost surely, 2^102898190880 is an apocalyptic number.

102898190880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102898190880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181418722758).

102898190880 is an abundant number, since it is smaller than the sum of its proper divisors (259939254636).

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

102898190880 is a wasteful number, since it uses less digits than its factorization.

102898190880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74440 (or 74398 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 54.

The spelling of 102898190880 in words is "one hundred two billion, eight hundred ninety-eight million, one hundred ninety thousand, eight hundred eighty".