107043429312 has 168 divisors, whose sum is σ = 328967622480. Its totient is φ = 34129497600.

The previous prime is 107043429203. The next prime is 107043429343. The reversal of 107043429312 is 213924340701.

It is a happy number.

It is a super-2 number, since 2×107043429312² (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 congruent number.

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, 855562 + ... + 972662.

It is an arithmetic number, because the mean of its divisors is an integer number (1958140610).

Almost surely, 2^107043429312 is an apocalyptic number.

107043429312 is a gapful number since it is divisible by the number (12) 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 107043429312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164483811240).

107043429312 is an abundant number, since it is smaller than the sum of its proper divisors (221924193168).

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

107043429312 is a wasteful number, since it uses less digits than its factorization.

107043429312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117168 (or 117129 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 107043429312 in words is "one hundred seven billion, forty-three million, four hundred twenty-nine thousand, three hundred twelve".