105556767530040 has 512 divisors, whose sum is σ = 363205221350400. Its totient is φ = 27248626022400.

The previous prime is 105556767530033. The next prime is 105556767530041. The reversal of 105556767530040 is 40035767655501.

105556767530040 is a `hidden beast` number, since 1 + 0 + 5 + 5 + 5 + 6 + 7 + 67 + 530 + 0 + 40 = 666.

It is a super-2 number, since 2×105556767530040² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105556767530041) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6475469890 + ... + 6475486190.

It is an arithmetic number, because the mean of its divisors is an integer number (709385197950).

Almost surely, 2^{105556767530040} is an apocalyptic number.

105556767530040 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 105556767530040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181602610675200).

105556767530040 is an abundant number, since it is smaller than the sum of its proper divisors (257648453820360).

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

105556767530040 is a wasteful number, since it uses less digits than its factorization.

105556767530040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17172 (or 17162 counting only the distinct ones).

The product of its (nonzero) digits is 13230000, while the sum is 54.

The spelling of 105556767530040 in words is "one hundred five trillion, five hundred fifty-six billion, seven hundred sixty-seven million, five hundred thirty thousand, forty".