106119104 has 168 divisors, whose sum is σ = 279714960. Its totient is φ = 39481344.

The previous prime is 106119043. The next prime is 106119113. The reversal of 106119104 is 401911601.

It is a super-2 number, since 2×106119104² = 22522528467525632, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106119104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 774524 + ... + 774660.

It is an arithmetic number, because the mean of its divisors is an integer number (1664970).

Almost surely, 2^106119104 is an apocalyptic number.

106119104 is a gapful number since it is divisible by the number (14) 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 106119104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139857480).

106119104 is an abundant number, since it is smaller than the sum of its proper divisors (173595856).

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

106119104 is a wasteful number, since it uses less digits than its factorization.

106119104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 23.

The square root of 106119104 is about 10301.4127186517. The cubic root of 106119104 is about 473.4395388650.

The spelling of 106119104 in words is "one hundred six million, one hundred nineteen thousand, one hundred four".