106138436040 has 384 divisors, whose sum is σ = 425025619200. Its totient is φ = 22369167360.

The previous prime is 106138435951. The next prime is 106138436071. The reversal of 106138436040 is 40634831601.

It is a happy number.

106138436040 is a `hidden beast` number, since 1 + 0 + 6 + 1 + 3 + 8 + 43 + 604 + 0 = 666.

106138436040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×106138436040² (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 = 106138435986 and 106138436004.

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, 58606735 + ... + 58608545.

It is an arithmetic number, because the mean of its divisors is an integer number (1106837550).

Almost surely, 2^106138436040 is an apocalyptic number.

106138436040 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 106138436040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212512809600).

106138436040 is an abundant number, since it is smaller than the sum of its proper divisors (318887183160).

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

106138436040 is a wasteful number, since it uses less digits than its factorization.

106138436040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3637 (or 3630 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 106138436040 in words is "one hundred six billion, one hundred thirty-eight million, four hundred thirty-six thousand, forty".