105407473536 has 288 divisors, whose sum is σ = 318755946600. Its totient is φ = 33431169024.

The previous prime is 105407473519. The next prime is 105407473537. The reversal of 105407473536 is 635374704501.

105407473536 is a `hidden beast` number, since 1 + 0 + 5 + 40 + 7 + 4 + 73 + 536 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×105407473536² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105407473491 and 105407473500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105407473537) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 163930431 + ... + 163931073.

Almost surely, 2^105407473536 is an apocalyptic number.

105407473536 is a gapful number since it is divisible by the number (16) 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 105407473536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159377973300).

105407473536 is an abundant number, since it is smaller than the sum of its proper divisors (213348473064).

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

105407473536 is a wasteful number, since it uses less digits than its factorization.

105407473536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 978 (or 940 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 45.

The spelling of 105407473536 in words is "one hundred five billion, four hundred seven million, four hundred seventy-three thousand, five hundred thirty-six".