10106367840 has 192 divisors, whose sum is σ = 35420414400. Its totient is φ = 2691366912.

The previous prime is 10106367827. The next prime is 10106367851. The reversal of 10106367840 is 4876360101.

10106367840 is a `hidden beast` number, since 1 + 0 + 10 + 636 + 7 + 8 + 4 + 0 = 666.

10106367840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10106367795 and 10106367804.

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 31 ways as a sum of consecutive naturals, for example, 4979946 + ... + 4981974.

It is an arithmetic number, because the mean of its divisors is an integer number (184481325).

Almost surely, 2^10106367840 is an apocalyptic number.

10106367840 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 10106367840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17710207200).

10106367840 is an abundant number, since it is smaller than the sum of its proper divisors (25314046560).

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

10106367840 is a wasteful number, since it uses less digits than its factorization.

10106367840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3206 (or 3192 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 10106367840 in words is "ten billion, one hundred six million, three hundred sixty-seven thousand, eight hundred forty".