890550816100 has 243 divisors, whose sum is σ = 2226486433899. Its totient is φ = 308926358400.

The previous prime is 890550816097. The next prime is 890550816101. The reversal of 890550816100 is 1618055098.

The square root of 890550816100 is 943690.

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

It can be written as a sum of positive squares in 4 ways, for example, as 8574389604 + 881976426496 = 92598^2 + 939136^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (890550816101) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2387535514 + ... + 2387535886.

Almost surely, 2^890550816100 is an apocalyptic number.

890550816100 is the 943690-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 890550816100

890550816100 is an abundant number, since it is smaller than the sum of its proper divisors (1335935617799).

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

890550816100 is a wasteful number, since it uses less digits than its factorization.

890550816100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 828 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 43.

The spelling of 890550816100 in words is "eight hundred ninety billion, five hundred fifty million, eight hundred sixteen thousand, one hundred".