107711433984 has 288 divisors, whose sum is σ = 358948638720. Its totient is φ = 27856281600.

The previous prime is 107711433983. The next prime is 107711433989. The reversal of 107711433984 is 489334117701.

It is a super-2 number, since 2×107711433984² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107711433983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14129694 + ... + 14137314.

It is an arithmetic number, because the mean of its divisors is an integer number (1246349440).

Almost surely, 2^107711433984 is an apocalyptic number.

107711433984 is a gapful number since it is divisible by the number (14) 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 107711433984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179474319360).

107711433984 is an abundant number, since it is smaller than the sum of its proper divisors (251237204736).

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

107711433984 is a wasteful number, since it uses less digits than its factorization.

107711433984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7897 (or 7883 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 48.

The spelling of 107711433984 in words is "one hundred seven billion, seven hundred eleven million, four hundred thirty-three thousand, nine hundred eighty-four".