107006355456 has 768 divisors, whose sum is σ = 388868014080. Its totient is φ = 25268060160.

The previous prime is 107006355431. The next prime is 107006355473. The reversal of 107006355456 is 654553600701.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×107006355456² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 781068220 + ... + 781068356.

It is an arithmetic number, because the mean of its divisors is an integer number (506338560).

Almost surely, 2^107006355456 is an apocalyptic number.

107006355456 is a gapful number since it is divisible by the number (16) 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 107006355456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194434007040).

107006355456 is an abundant number, since it is smaller than the sum of its proper divisors (281861658624).

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

107006355456 is a wasteful number, since it uses less digits than its factorization.

107006355456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 42.

The spelling of 107006355456 in words is "one hundred seven billion, six million, three hundred fifty-five thousand, four hundred fifty-six".