105921527040 has 288 divisors, whose sum is σ = 429571618560. Its totient is φ = 24210579456.

The previous prime is 105921527027. The next prime is 105921527057. The reversal of 105921527040 is 40725129501.

105921527040 is a `hidden beast` number, since 1 + 0 + 5 + 92 + 1 + 527 + 0 + 40 = 666.

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

It is a super-2 number, since 2×105921527040² (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 = 105921526986 and 105921527004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23002 + ... + 460838.

It is an arithmetic number, because the mean of its divisors is an integer number (1491568120).

Almost surely, 2^105921527040 is an apocalyptic number.

105921527040 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 105921527040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214785809280).

105921527040 is an abundant number, since it is smaller than the sum of its proper divisors (323650091520).

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

105921527040 is an equidigital number, since it uses as much as digits as its factorization.

105921527040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437874 (or 437854 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 105921527040 in words is "one hundred five billion, nine hundred twenty-one million, five hundred twenty-seven thousand, forty".