106347384 has 192 divisors, whose sum is σ = 350800800. Its totient is φ = 29652480.

The previous prime is 106347347. The next prime is 106347401. The reversal of 106347384 is 483743601.

106347384 is a `hidden beast` number, since 10 + 634 + 7 + 3 + 8 + 4 = 666.

It is a super-2 number, since 2×106347384² = 22619532167286912, 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, 339612 + ... + 339924.

Almost surely, 2^106347384 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 106347384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175400400).

106347384 is an abundant number, since it is smaller than the sum of its proper divisors (244453416).

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

106347384 is a wasteful number, since it uses less digits than its factorization.

106347384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 106347384 is about 10312.4867999916. The cubic root of 106347384 is about 473.7787783587.

The spelling of 106347384 in words is "one hundred six million, three hundred forty-seven thousand, three hundred eighty-four".