106405152 has 48 divisors (see below), whose sum is σ = 319217472. Its totient is φ = 30401280.

The previous prime is 106405141. The next prime is 106405157. The reversal of 106405152 is 251504601.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×106405152² = 22644112744286208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (106405157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 78499 + ... + 79842.

It is an arithmetic number, because the mean of its divisors is an integer number (6650364).

Almost surely, 2^106405152 is an apocalyptic number.

106405152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106405152 is an abundant number, since it is smaller than the sum of its proper divisors (212812320).

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

106405152 is a wasteful number, since it uses less digits than its factorization.

106405152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158361 (or 158353 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 106405152 is about 10315.2872960476. The cubic root of 106405152 is about 473.8645485246.

Adding to 106405152 its reverse (251504601), we get a palindrome (357909753).

The spelling of 106405152 in words is "one hundred six million, four hundred five thousand, one hundred fifty-two".