107635574046 has 128 divisors (see below), whose sum is σ = 289667137536. Its totient is φ = 25750327680.

The previous prime is 107635574003. The next prime is 107635574113. The reversal of 107635574046 is 640475536701.

It is a happy number.

107635574046 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 107635573986 and 107635574004.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 2761425 + ... + 2800131.

It is an arithmetic number, because the mean of its divisors is an integer number (2263024512).

Almost surely, 2^107635574046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107635574046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144833568768).

107635574046 is an abundant number, since it is smaller than the sum of its proper divisors (182031563490).

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

107635574046 is a wasteful number, since it uses less digits than its factorization.

107635574046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39206.

The product of its (nonzero) digits is 2116800, while the sum is 48.

The spelling of 107635574046 in words is "one hundred seven billion, six hundred thirty-five million, five hundred seventy-four thousand, forty-six".