105110783320452 has 288 divisors, whose sum is σ = 323906174484480. Its totient is φ = 26256486493440.

The previous prime is 105110783320451. The next prime is 105110783320511. The reversal of 105110783320452 is 254023387011501.

It is a happy number.

It is a super-2 number, since 2×105110783320452² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (105110783320451) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6418449 + ... + 15856167.

It is an arithmetic number, because the mean of its divisors is an integer number (1124674216960).

Almost surely, 2^{105110783320452} is an apocalyptic number.

105110783320452 is a gapful number since it is divisible by the number (12) 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 105110783320452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161953087242240).

105110783320452 is an abundant number, since it is smaller than the sum of its proper divisors (218795391164028).

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

105110783320452 is a wasteful number, since it uses less digits than its factorization.

105110783320452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9437831 (or 9437822 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The spelling of 105110783320452 in words is "one hundred five trillion, one hundred ten billion, seven hundred eighty-three million, three hundred twenty thousand, four hundred fifty-two".