106138080 has 192 divisors, whose sum is σ = 377395200. Its totient is φ = 27855360.

The previous prime is 106138063. The next prime is 106138093. The reversal of 106138080 is 80831601.

It is a super-2 number, since 2×106138080² = 22530584052172800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 341125 + ... + 341435.

It is an arithmetic number, because the mean of its divisors is an integer number (1965600).

Almost surely, 2^106138080 is an apocalyptic number.

106138080 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 106138080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188697600).

106138080 is an abundant number, since it is smaller than the sum of its proper divisors (271257120).

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

106138080 is a wasteful number, since it uses less digits than its factorization.

106138080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 106138080 is about 10302.3337162024. Note that the first 3 decimals coincide. The cubic root of 106138080 is about 473.4677570115.

Adding to 106138080 its reverse (80831601), we get a palindrome (186969681).

The spelling of 106138080 in words is "one hundred six million, one hundred thirty-eight thousand, eighty".