113105425032 has 384 divisors, whose sum is σ = 344203292160. Its totient is φ = 34667274240.

The previous prime is 113105424977. The next prime is 113105425051. The reversal of 113105425032 is 230524501311.

113105425032 is a `hidden beast` number, since 1 + 13 + 105 + 42 + 503 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 113105424987 and 113105425005.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 417363057 + ... + 417363327.

It is an arithmetic number, because the mean of its divisors is an integer number (896362740).

Almost surely, 2^113105425032 is an apocalyptic number.

113105425032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is a pronic number, being equal to 336311×336312.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113105425032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172101646080).

113105425032 is an abundant number, since it is smaller than the sum of its proper divisors (231097867128).

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

113105425032 is a wasteful number, since it uses less digits than its factorization.

113105425032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 555 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 113105425032 its reverse (230524501311), we get a palindrome (343629926343).

The spelling of 113105425032 in words is "one hundred thirteen billion, one hundred five million, four hundred twenty-five thousand, thirty-two".