105662057040 has 480 divisors, whose sum is σ = 406607475456. Its totient is φ = 25364275200.

The previous prime is 105662057021. The next prime is 105662057069. The reversal of 105662057040 is 40750266501.

It is a happy number.

105662057040 is a `hidden beast` number, since 1 + 0 + 5 + 66 + 20 + 570 + 4 + 0 = 666.

It is a super-2 number, since 2×105662057040² (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 = 105662056986 and 105662057004.

It is a congruent number.

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, 7594090 + ... + 7607990.

Almost surely, 2^105662057040 is an apocalyptic number.

105662057040 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 105662057040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203303737728).

105662057040 is an abundant number, since it is smaller than the sum of its proper divisors (300945418416).

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

105662057040 is a wasteful number, since it uses less digits than its factorization.

105662057040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13969 (or 13951 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 105662057040 in words is "one hundred five billion, six hundred sixty-two million, fifty-seven thousand, forty".