106653384 has 96 divisors (see below), whose sum is σ = 310003200. Its totient is φ = 33022080.

The previous prime is 106653377. The next prime is 106653401. The reversal of 106653384 is 483356601.

It is a super-2 number, since 2×106653384² = 22749888637302912, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 23 ways as a sum of consecutive naturals, for example, 71769 + ... + 73239.

It is an arithmetic number, because the mean of its divisors is an integer number (3229200).

Almost surely, 2^106653384 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 106653384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155001600).

106653384 is an abundant number, since it is smaller than the sum of its proper divisors (203349816).

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

106653384 is a wasteful number, since it uses less digits than its factorization.

106653384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1555 (or 1548 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 106653384 is about 10327.3125255315. The cubic root of 106653384 is about 474.2327543531.

The spelling of 106653384 in words is "one hundred six million, six hundred fifty-three thousand, three hundred eighty-four".