105153517787880 has 256 divisors, whose sum is σ = 325363201954560. Its totient is φ = 27167201280000.

The previous prime is 105153517787833. The next prime is 105153517787881. The reversal of 105153517787880 is 88787715351501.

It is a super-2 number, since 2×105153517787880² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105153517787881) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5189936950 + ... + 5189957210.

It is an arithmetic number, because the mean of its divisors is an integer number (1270950007635).

Almost surely, 2^{105153517787880} is an apocalyptic number.

105153517787880 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 105153517787880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162681600977280).

105153517787880 is an abundant number, since it is smaller than the sum of its proper divisors (220209684166680).

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

105153517787880 is a wasteful number, since it uses less digits than its factorization.

105153517787880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25220 (or 25216 counting only the distinct ones).

The product of its (nonzero) digits is 65856000, while the sum is 66.

The spelling of 105153517787880 in words is "one hundred five trillion, one hundred fifty-three billion, five hundred seventeen million, seven hundred eighty-seven thousand, eight hundred eighty".