106876027440 has 480 divisors, whose sum is σ = 443011645440. Its totient is φ = 22485510144.

The previous prime is 106876027367. The next prime is 106876027451. The reversal of 106876027440 is 44720678601.

106876027440 is a `hidden beast` number, since 106 + 87 + 6 + 0 + 27 + 440 = 666.

106876027440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×106876027440² (a number of 23 digits) contains 22 as substring.

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

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, 25092031 + ... + 25096289.

It is an arithmetic number, because the mean of its divisors is an integer number (922940928).

Almost surely, 2^106876027440 is an apocalyptic number.

106876027440 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 106876027440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221505822720).

106876027440 is an abundant number, since it is smaller than the sum of its proper divisors (336135618000).

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

106876027440 is a wasteful number, since it uses less digits than its factorization.

106876027440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4681 (or 4672 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 106876027440 in words is "one hundred six billion, eight hundred seventy-six million, twenty-seven thousand, four hundred forty".