10099080810 has 720 divisors, whose sum is σ = 36523256616. Its totient is φ = 1983066624.

The previous prime is 10099080793. The next prime is 10099080821. The reversal of 10099080810 is 1808099001.

It can be written as a sum of positive squares in 4 ways, for example, as 8333316369 + 1765764441 = 91287^2 + 42021^2 .

It is a super-2 number, since 2×10099080810² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 272948112 + ... + 272948148.

Almost surely, 2^10099080810 is an apocalyptic number.

10099080810 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10099080810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18261628308).

10099080810 is an abundant number, since it is smaller than the sum of its proper divisors (26424175806).

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

10099080810 is a wasteful number, since it uses less digits than its factorization.

10099080810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 36.

The spelling of 10099080810 in words is "ten billion, ninety-nine million, eighty thousand, eight hundred ten".