105263473644 has 288 divisors, whose sum is σ = 328760678400. Its totient is φ = 29011167360.

The previous prime is 105263473643. The next prime is 105263473669. The reversal of 105263473644 is 446374362501.

105263473644 is a `hidden beast` number, since 1 + 0 + 5 + 2 + 634 + 7 + 3 + 6 + 4 + 4 = 666.

It is a super-2 number, since 2×105263473644² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105263473644.

It is not an unprimeable number, because it can be changed into a prime (105263473643) 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, 62174862 + ... + 62176554.

Almost surely, 2^105263473644 is an apocalyptic number.

105263473644 is a gapful number since it is divisible by the number (14) 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 105263473644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164380339200).

105263473644 is an abundant number, since it is smaller than the sum of its proper divisors (223497204756).

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

105263473644 is a wasteful number, since it uses less digits than its factorization.

105263473644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2130 (or 2115 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The spelling of 105263473644 in words is "one hundred five billion, two hundred sixty-three million, four hundred seventy-three thousand, six hundred forty-four".