10906371840 has 864 divisors, whose sum is σ = 45574986240. Its totient is φ = 2163769344.

The previous prime is 10906371821. The next prime is 10906371901. The reversal of 10906371840 is 4817360901.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 184853731 + ... + 184853789.

Almost surely, 2^10906371840 is an apocalyptic number.

10906371840 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 10906371840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22787493120).

10906371840 is an abundant number, since it is smaller than the sum of its proper divisors (34668614400).

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

10906371840 is a wasteful number, since it uses less digits than its factorization.

10906371840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The spelling of 10906371840 in words is "ten billion, nine hundred six million, three hundred seventy-one thousand, eight hundred forty".