106790040 has 192 divisors, whose sum is σ = 409743360. Its totient is φ = 23604480.

The previous prime is 106789999. The next prime is 106790053. The reversal of 106790040 is 40097601.

It is a super-2 number, since 2×106790040² = 22808225286403200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106789986 and 106790013.

It is a congruent number.

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, 77437 + ... + 78803.

It is an arithmetic number, because the mean of its divisors is an integer number (2134080).

Almost surely, 2^106790040 is an apocalyptic number.

106790040 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 106790040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204871680).

106790040 is an abundant number, since it is smaller than the sum of its proper divisors (302953320).

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

106790040 is a wasteful number, since it uses less digits than its factorization.

106790040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1422 (or 1415 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 106790040 is about 10333.9266496332. The cubic root of 106790040 is about 474.4352142263.

The spelling of 106790040 in words is "one hundred six million, seven hundred ninety thousand, forty".