106735104 has 160 divisors (see below), whose sum is σ = 361405440. Its totient is φ = 30468096.

The previous prime is 106735099. The next prime is 106735127. The reversal of 106735104 is 401537601.

It is a super-2 number, since 2×106735104² = 22784764851781632, 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 15 ways as a sum of consecutive naturals, for example, 96217 + ... + 97319.

It is an arithmetic number, because the mean of its divisors is an integer number (2258784).

Almost surely, 2^106735104 is an apocalyptic number.

106735104 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 106735104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180702720).

106735104 is an abundant number, since it is smaller than the sum of its proper divisors (254670336).

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

106735104 is an equidigital number, since it uses as much as digits as its factorization.

106735104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1137 (or 1115 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 106735104 is about 10331.2682667715. The cubic root of 106735104 is about 474.3538457032.

The spelling of 106735104 in words is "one hundred six million, seven hundred thirty-five thousand, one hundred four".