106347856 has 40 divisors (see below), whose sum is σ = 214272000. Its totient is φ = 51077760.

The previous prime is 106347851. The next prime is 106347877. The reversal of 106347856 is 658743601.

106347856 = T₃₉₁ + T₃₉₂ + ... + T₈₈₆.

It is a happy number.

It is a super-2 number, since 2×106347856² = 22619732951593472, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106347851) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73185 + ... + 74623.

It is an arithmetic number, because the mean of its divisors is an integer number (5356800).

Almost surely, 2^106347856 is an apocalyptic number.

106347856 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 106347856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107136000).

106347856 is an abundant number, since it is smaller than the sum of its proper divisors (107924144).

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

106347856 is a wasteful number, since it uses less digits than its factorization.

106347856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1627 (or 1621 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The square root of 106347856 is about 10312.5096848439. The cubic root of 106347856 is about 473.7794792794.

The spelling of 106347856 in words is "one hundred six million, three hundred forty-seven thousand, eight hundred fifty-six".