106142424 has 64 divisors (see below), whose sum is σ = 293207040. Its totient is φ = 31848960.

The previous prime is 106142383. The next prime is 106142431. The reversal of 106142424 is 424241601.

It is a happy number.

It is a super-2 number, since 2×106142424² = 22532428345191552, 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 = 106142394 and 106142403.

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, 3729 + ... + 15039.

It is an arithmetic number, because the mean of its divisors is an integer number (4581360).

Almost surely, 2^106142424 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 106142424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146603520).

106142424 is an abundant number, since it is smaller than the sum of its proper divisors (187064616).

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

106142424 is a wasteful number, since it uses less digits than its factorization.

106142424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11360 (or 11356 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 106142424 is about 10302.5445400639. The cubic root of 106142424 is about 473.4742162574.

The spelling of 106142424 in words is "one hundred six million, one hundred forty-two thousand, four hundred twenty-four".