106721784 has 192 divisors, whose sum is σ = 347911200. Its totient is φ = 29196288.

The previous prime is 106721773. The next prime is 106721831. The reversal of 106721784 is 487127601.

It is a super-2 number, since 2×106721784² = 22779078360285312, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 302152 + ... + 302504.

Almost surely, 2^106721784 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 106721784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173955600).

106721784 is an abundant number, since it is smaller than the sum of its proper divisors (241189416).

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

106721784 is a wasteful number, since it uses less digits than its factorization.

106721784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 106721784 is about 10330.6236016999. The cubic root of 106721784 is about 474.3341125638.

The spelling of 106721784 in words is "one hundred six million, seven hundred twenty-one thousand, seven hundred eighty-four".