10545686190 has 192 divisors, whose sum is σ = 30610483200. Its totient is φ = 2582326656.

The previous prime is 10545686189. The next prime is 10545686213. The reversal of 10545686190 is 9168654501.

10545686190 is a `hidden beast` number, since 1 + 0 + 5 + 456 + 8 + 6 + 190 = 666.

10545686190 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10545686190² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10905087 + ... + 10906053.

It is an arithmetic number, because the mean of its divisors is an integer number (159429600).

Almost surely, 2^10545686190 is an apocalyptic number.

10545686190 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 10545686190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15305241600).

10545686190 is an abundant number, since it is smaller than the sum of its proper divisors (20064797010).

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

10545686190 is a wasteful number, since it uses less digits than its factorization.

10545686190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1248 (or 1229 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 10545686190 in words is "ten billion, five hundred forty-five million, six hundred eighty-six thousand, one hundred ninety".