105133472640 has 2048 divisors, whose sum is σ = 488581632000. Its totient is φ = 20808990720.

The previous prime is 105133472579. The next prime is 105133472641. The reversal of 105133472640 is 46274331501.

105133472640 is a `hidden beast` number, since 1 + 0 + 5 + 1 + 3 + 3 + 4 + 7 + 2 + 640 = 666.

It is a super-2 number, since 2×105133472640² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 105133472595 and 105133472604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105133472641) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2444964459 + ... + 2444964501.

It is an arithmetic number, because the mean of its divisors is an integer number (238565250).

Almost surely, 2^105133472640 is an apocalyptic number.

105133472640 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 105133472640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244290816000).

105133472640 is an abundant number, since it is smaller than the sum of its proper divisors (383448159360).

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

105133472640 is a wasteful number, since it uses less digits than its factorization.

105133472640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 105133472640 in words is "one hundred five billion, one hundred thirty-three million, four hundred seventy-two thousand, six hundred forty".