106389504 has 224 divisors, whose sum is σ = 348630240. Its totient is φ = 31850496.

The previous prime is 106389473. The next prime is 106389511. The reversal of 106389504 is 405983601.

106389504 is a `hidden beast` number, since 10 + 63 + 89 + 504 = 666.

It is a super-2 number, since 2×106389504² = 22637453122732032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 2875374 + ... + 2875410.

It is an arithmetic number, because the mean of its divisors is an integer number (1556385).

Almost surely, 2^106389504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106389504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174315120).

106389504 is an abundant number, since it is smaller than the sum of its proper divisors (242240736).

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

106389504 is an equidigital number, since it uses as much as digits as its factorization.

106389504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 106389504 is about 10314.5287822566. The cubic root of 106389504 is about 473.8413184590.

The spelling of 106389504 in words is "one hundred six million, three hundred eighty-nine thousand, five hundred four".