106219656 has 96 divisors (see below), whose sum is σ = 296281440. Its totient is φ = 34366464.

The previous prime is 106219639. The next prime is 106219657. The reversal of 106219656 is 656912601.

It is a super-2 number, since 2×106219656² = 22565230641516672, 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 106219656.

It is not an unprimeable number, because it can be changed into a prime (106219657) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 467815 + ... + 468041.

It is an arithmetic number, because the mean of its divisors is an integer number (3086265).

Almost surely, 2^106219656 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 106219656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148140720).

106219656 is an abundant number, since it is smaller than the sum of its proper divisors (190061784).

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

106219656 is a wasteful number, since it uses less digits than its factorization.

106219656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 106219656 is about 10306.2920587377. The cubic root of 106219656 is about 473.5890258178.

The spelling of 106219656 in words is "one hundred six million, two hundred nineteen thousand, six hundred fifty-six".