10354199800 has 288 divisors, whose sum is σ = 29678814720. Its totient is φ = 3342662400.

The previous prime is 10354199773. The next prime is 10354199881. The reversal of 10354199800 is 899145301.

It is a super-3 number, since 3×10354199800³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16003077 + ... + 16003723.

It is an arithmetic number, because the mean of its divisors is an integer number (103051440).

Almost surely, 2^10354199800 is an apocalyptic number.

10354199800 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 10354199800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14839407360).

10354199800 is an abundant number, since it is smaller than the sum of its proper divisors (19324614920).

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

10354199800 is a wasteful number, since it uses less digits than its factorization.

10354199800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 40.

The spelling of 10354199800 in words is "ten billion, three hundred fifty-four million, one hundred ninety-nine thousand, eight hundred".