106127784 has 192 divisors, whose sum is σ = 345945600. Its totient is φ = 28764288.

The previous prime is 106127779. The next prime is 106127807. The reversal of 106127784 is 487721601.

It is a super-2 number, since 2×106127784² = 22526213073501312, 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, 1278607 + ... + 1278689.

It is an arithmetic number, because the mean of its divisors is an integer number (1801800).

Almost surely, 2^106127784 is an apocalyptic number.

106127784 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106127784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172972800).

106127784 is an abundant number, since it is smaller than the sum of its proper divisors (239817816).

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

106127784 is a wasteful number, since it uses less digits than its factorization.

106127784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 197 counting only the distinct ones).

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

The square root of 106127784 is about 10301.8340114758. The cubic root of 106127784 is about 473.4524468241.

The spelling of 106127784 in words is "one hundred six million, one hundred twenty-seven thousand, seven hundred eighty-four".