106168104 has 128 divisors (see below), whose sum is σ = 344160000. Its totient is φ = 30312576.

The previous prime is 106168093. The next prime is 106168123. The reversal of 106168104 is 401861601.

It is a super-2 number, since 2×106168104² = 22543332613909632, which contains 22 as substring.

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

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, 73372 + ... + 74804.

It is an arithmetic number, because the mean of its divisors is an integer number (2688750).

Almost surely, 2^106168104 is an apocalyptic number.

106168104 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 106168104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172080000).

106168104 is an abundant number, since it is smaller than the sum of its proper divisors (237991896).

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

106168104 is a wasteful number, since it uses less digits than its factorization.

106168104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1469 (or 1445 counting only the distinct ones).

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

The square root of 106168104 is about 10303.7907587451. The cubic root of 106168104 is about 473.5123971499.

The spelling of 106168104 in words is "one hundred six million, one hundred sixty-eight thousand, one hundred four".