106186024 has 32 divisors (see below), whose sum is σ = 228957120. Its totient is φ = 45225216.

The previous prime is 106186021. The next prime is 106186037. The reversal of 106186024 is 420681601.

It is a super-2 number, since 2×106186024² = 22550943385857152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 106185983 and 106186001.

It is not an unprimeable number, because it can be changed into a prime (106186021) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3312 + ... + 14944.

It is an arithmetic number, because the mean of its divisors is an integer number (7154910).

Almost surely, 2^106186024 is an apocalyptic number.

106186024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

106186024 is an abundant number, since it is smaller than the sum of its proper divisors (122771096).

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

106186024 is a wasteful number, since it uses less digits than its factorization.

106186024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11809 (or 11805 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 106186024 is about 10304.6603049300. The cubic root of 106186024 is about 473.5390368670.

The spelling of 106186024 in words is "one hundred six million, one hundred eighty-six thousand, twenty-four".