107542805760 has 720 divisors, whose sum is σ = 420469596624. Its totient is φ = 26085556224.

The previous prime is 107542805737. The next prime is 107542805761. The reversal of 107542805760 is 67508245701.

107542805760 is a `hidden beast` number, since 1 + 0 + 7 + 54 + 28 + 0 + 576 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1068505344 + 106474300416 = 32688^2 + 326304^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107542805761) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 98391774 + ... + 98392866.

Almost surely, 2^107542805760 is an apocalyptic number.

107542805760 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 107542805760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210234798312).

107542805760 is an abundant number, since it is smaller than the sum of its proper divisors (312926790864).

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

107542805760 is a wasteful number, since it uses less digits than its factorization.

107542805760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1212 (or 1189 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The spelling of 107542805760 in words is "one hundred seven billion, five hundred forty-two million, eight hundred five thousand, seven hundred sixty".