105451253959968 has 576 divisors, whose sum is σ = 352810544486400. Its totient is φ = 29254808309760.

The previous prime is 105451253959951. The next prime is 105451253959981. The reversal of 105451253959968 is 869959352154501.

105451253959968 is a `hidden beast` number, since 1 + 0 + 5 + 4 + 5 + 1 + 25 + 3 + 9 + 599 + 6 + 8 = 666.

It is a super-2 number, since 2×105451253959968² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 105451253959896 and 105451253959905.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11252930323 + ... + 11252939693.

It is an arithmetic number, because the mean of its divisors is an integer number (612518306400).

Almost surely, 2^{105451253959968} is an apocalyptic number.

105451253959968 is a gapful number since it is divisible by the number (18) 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 105451253959968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176405272243200).

105451253959968 is an abundant number, since it is smaller than the sum of its proper divisors (247359290526432).

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

105451253959968 is a wasteful number, since it uses less digits than its factorization.

105451253959968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10605 (or 10594 counting only the distinct ones).

The product of its (nonzero) digits is 524880000, while the sum is 72.

The spelling of 105451253959968 in words is "one hundred five trillion, four hundred fifty-one billion, two hundred fifty-three million, nine hundred fifty-nine thousand, nine hundred sixty-eight".