106347456 has 42 divisors (see below), whose sum is σ = 304827432. Its totient is φ = 35448960.

The previous prime is 106347433. The next prime is 106347487. The reversal of 106347456 is 654743601.

It is a happy number.

106347456 is a `hidden beast` number, since 10 + 634 + 7 + 4 + 5 + 6 = 666.

It is a super-2 number, since 2×106347456² = 22619562795343872, 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 106347456.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 91740 + ... + 92891.

It is an arithmetic number, because the mean of its divisors is an integer number (7257796).

Almost surely, 2^106347456 is an apocalyptic number.

106347456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106347456 is an abundant number, since it is smaller than the sum of its proper divisors (198479976).

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

106347456 is a wasteful number, since it uses less digits than its factorization.

106347456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184649 (or 184636 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 106347456 is about 10312.4902909045. The cubic root of 106347456 is about 473.7788852789.

The spelling of 106347456 in words is "one hundred six million, three hundred forty-seven thousand, four hundred fifty-six".