107858429952 has 768 divisors, whose sum is σ = 375717888000. Its totient is φ = 27311800320.

The previous prime is 107858429951. The next prime is 107858429953. The reversal of 107858429952 is 259924858701.

It is an interprime number because it is at equal distance from previous prime (107858429951) and next prime (107858429953).

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

It is not an unprimeable number, because it can be changed into a prime (107858429951) by changing a digit.

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, 849278913 + ... + 849279039.

It is an arithmetic number, because the mean of its divisors is an integer number (489216000).

Almost surely, 2^107858429952 is an apocalyptic number.

107858429952 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 107858429952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187858944000).

107858429952 is an abundant number, since it is smaller than the sum of its proper divisors (267859458048).

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

107858429952 is a wasteful number, since it uses less digits than its factorization.

107858429952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 60.

The spelling of 107858429952 in words is "one hundred seven billion, eight hundred fifty-eight million, four hundred twenty-nine thousand, nine hundred fifty-two".