106342956 has 120 divisors (see below), whose sum is σ = 301870800. Its totient is φ = 32514048.

The previous prime is 106342933. The next prime is 106342967. The reversal of 106342956 is 659243601.

It is a happy number.

106342956 is a `hidden beast` number, since 10 + 634 + 2 + 9 + 5 + 6 = 666.

It is a super-2 number, since 2×106342956² = 22617648581635872, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 106342956.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 236620 + ... + 237068.

It is an arithmetic number, because the mean of its divisors is an integer number (2515590).

Almost surely, 2^106342956 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 106342956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150935400).

106342956 is an abundant number, since it is smaller than the sum of its proper divisors (195527844).

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

106342956 is a wasteful number, since it uses less digits than its factorization.

106342956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 106342956 is about 10312.2721065728. The cubic root of 106342956 is about 473.7722026710.

The spelling of 106342956 in words is "one hundred six million, three hundred forty-two thousand, nine hundred fifty-six".