105625841040 has 240 divisors, whose sum is σ = 363924707328. Its totient is φ = 27442013184.

The previous prime is 105625840997. The next prime is 105625841071. The reversal of 105625841040 is 40148526501.

It is a happy number.

105625841040 is a `hidden beast` number, since 1 + 0 + 5 + 62 + 584 + 10 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×105625841040² (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 = 105625840986 and 105625841004.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7539322 + ... + 7553318.

Almost surely, 2^105625841040 is an apocalyptic number.

105625841040 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 105625841040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181962353664).

105625841040 is an abundant number, since it is smaller than the sum of its proper divisors (258298866288).

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

105625841040 is a wasteful number, since it uses less digits than its factorization.

105625841040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14286 (or 14277 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 105625841040 in words is "one hundred five billion, six hundred twenty-five million, eight hundred forty-one thousand, forty".