106704024 has 64 divisors (see below), whose sum is σ = 307718400. Its totient is φ = 30201984.

The previous prime is 106704007. The next prime is 106704043. The reversal of 106704024 is 420407601.

It is a super-2 number, since 2×106704024² = 22771497475585152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 106703985 and 106704003.

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, 15399 + ... + 21225.

It is an arithmetic number, because the mean of its divisors is an integer number (4808100).

Almost surely, 2^106704024 is an apocalyptic number.

106704024 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 106704024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153859200).

106704024 is an abundant number, since it is smaller than the sum of its proper divisors (201014376).

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

106704024 is a wasteful number, since it uses less digits than its factorization.

106704024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5952 (or 5948 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 106704024 is about 10329.7639856872. The cubic root of 106704024 is about 474.3077991569.

The spelling of 106704024 in words is "one hundred six million, seven hundred four thousand, twenty-four".