107452105740 has 384 divisors, whose sum is σ = 396485591040. Its totient is φ = 23648889600.

The previous prime is 107452105687. The next prime is 107452105763. The reversal of 107452105740 is 47501254701.

107452105740 is a `hidden beast` number, since 1 + 0 + 74 + 5 + 2 + 10 + 574 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 107452105695 and 107452105704.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 11535685 + ... + 11544995.

It is an arithmetic number, because the mean of its divisors is an integer number (1032514560).

Almost surely, 2^107452105740 is an apocalyptic number.

107452105740 is a gapful number since it is divisible by the number (10) 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 107452105740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198242795520).

107452105740 is an abundant number, since it is smaller than the sum of its proper divisors (289033485300).

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

107452105740 is a wasteful number, since it uses less digits than its factorization.

107452105740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9450 (or 9442 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

The spelling of 107452105740 in words is "one hundred seven billion, four hundred fifty-two million, one hundred five thousand, seven hundred forty".