106378038 has 48 divisors (see below), whose sum is σ = 249827760. Its totient is φ = 32519232.

The previous prime is 106378031. The next prime is 106378039. The reversal of 106378038 is 830873601.

106378038 is a `hidden beast` number, since 10 + 637 + 8 + 0 + 3 + 8 = 666.

It is a super-2 number, since 2×106378038² = 22632573937458888, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106377993 and 106378011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106378031) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36748 + ... + 39536.

It is an arithmetic number, because the mean of its divisors is an integer number (5204745).

Almost surely, 2^106378038 is an apocalyptic number.

106378038 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 106378038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124913880).

106378038 is an abundant number, since it is smaller than the sum of its proper divisors (143449722).

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

106378038 is a wasteful number, since it uses less digits than its factorization.

106378038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2973 (or 2970 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 106378038 is about 10313.9729493537. The cubic root of 106378038 is about 473.8242952893.

The spelling of 106378038 in words is "one hundred six million, three hundred seventy-eight thousand, thirty-eight".