106762656 has 288 divisors, whose sum is σ = 382886784. Its totient is φ = 25344000.

The previous prime is 106762639. The next prime is 106762657. The reversal of 106762656 is 656267601.

It is a super-2 number, since 2×106762656² = 22796529432348672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (106762657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1057006 + ... + 1057106.

It is an arithmetic number, because the mean of its divisors is an integer number (1329468).

Almost surely, 2^106762656 is an apocalyptic number.

106762656 is a gapful number since it is divisible by the number (16) 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 106762656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191443392).

106762656 is an abundant number, since it is smaller than the sum of its proper divisors (276124128).

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

106762656 is a wasteful number, since it uses less digits than its factorization.

106762656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The square root of 106762656 is about 10332.6016085011. The cubic root of 106762656 is about 474.3946578705.

The spelling of 106762656 in words is "one hundred six million, seven hundred sixty-two thousand, six hundred fifty-six".