105726416040 has 384 divisors, whose sum is σ = 402161760000. Its totient is φ = 24078684672.

The previous prime is 105726415999. The next prime is 105726416053. The reversal of 105726416040 is 40614627501.

105726416040 is a `hidden beast` number, since 1 + 0 + 5 + 7 + 2 + 6 + 41 + 604 + 0 = 666.

It is a super-2 number, since 2×105726416040² (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 = 105726415986 and 105726416004.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37906966 + ... + 37909754.

It is an arithmetic number, because the mean of its divisors is an integer number (1047296250).

Almost surely, 2^105726416040 is an apocalyptic number.

105726416040 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 105726416040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201080880000).

105726416040 is an abundant number, since it is smaller than the sum of its proper divisors (296435343960).

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

105726416040 is a wasteful number, since it uses less digits than its factorization.

105726416040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3134 (or 3113 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 105726416040 in words is "one hundred five billion, seven hundred twenty-six million, four hundred sixteen thousand, forty".