107010471456 has 144 divisors (see below), whose sum is σ = 347885201664. Its totient is φ = 30565527552.

The previous prime is 107010471443. The next prime is 107010471479. The reversal of 107010471456 is 654174010701.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×107010471456² (a number of 23 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 107010471456.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10411536 + ... + 10421808.

It is an arithmetic number, because the mean of its divisors is an integer number (2415869456).

Almost surely, 2^107010471456 is an apocalyptic number.

107010471456 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 107010471456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173942600832).

107010471456 is an abundant number, since it is smaller than the sum of its proper divisors (240874730208).

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

107010471456 is a wasteful number, since it uses less digits than its factorization.

107010471456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15463 (or 15452 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The spelling of 107010471456 in words is "one hundred seven billion, ten million, four hundred seventy-one thousand, four hundred fifty-six".