105106100040 has 128 divisors (see below), whose sum is σ = 350464636800. Its totient is φ = 28019416320.

The previous prime is 105106099999. The next prime is 105106100041. The reversal of 105106100040 is 40001601501.

105106100040 is a `hidden beast` number, since 1 + 0 + 5 + 10 + 610 + 0 + 0 + 40 = 666.

It is a super-2 number, since 2×105106100040² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 105106099986 and 105106100022.

It is not an unprimeable number, because it can be changed into a prime (105106100041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3843054 + ... + 3870306.

It is an arithmetic number, because the mean of its divisors is an integer number (2738004975).

Almost surely, 2^105106100040 is an apocalyptic number.

105106100040 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 105106100040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175232318400).

105106100040 is an abundant number, since it is smaller than the sum of its proper divisors (245358536760).

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

105106100040 is a wasteful number, since it uses less digits than its factorization.

105106100040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30844 (or 30834 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 105106100040 its reverse (40001601501), we get a palindrome (145107701541).

The spelling of 105106100040 in words is "one hundred five billion, one hundred six million, one hundred thousand, forty".