107083420416 has 216 divisors, whose sum is σ = 365924925184. Its totient is φ = 30595138560.

The previous prime is 107083420399. The next prime is 107083420417. The reversal of 107083420416 is 614024380701.

It is a tau number, because it is divible by the number of its divisors (216).

It is a super-2 number, since 2×107083420416² (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 not an unprimeable number, because it can be changed into a prime (107083420417) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 312501 + ... + 558411.

Almost surely, 2^107083420416 is an apocalyptic number.

107083420416 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 107083420416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182962462592).

107083420416 is an abundant number, since it is smaller than the sum of its proper divisors (258841504768).

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

107083420416 is an frugal number, since it uses more digits than its factorization.

107083420416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245949 (or 245923 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 107083420416 in words is "one hundred seven billion, eighty-three million, four hundred twenty thousand, four hundred sixteen".