106131024 has 60 divisors (see below), whose sum is σ = 297897600. Its totient is φ = 35272512.

The previous prime is 106131019. The next prime is 106131037. The reversal of 106131024 is 420131601.

It is a happy number.

It is a super-2 number, since 2×106131024² = 22527588510577152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 106130988 and 106131006.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 59457 + ... + 61215.

It is an arithmetic number, because the mean of its divisors is an integer number (4964960).

Almost surely, 2^106131024 is an apocalyptic number.

It is an amenable number.

106131024 is an abundant number, since it is smaller than the sum of its proper divisors (191766576).

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

106131024 is a wasteful number, since it uses less digits than its factorization.

106131024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2192 (or 2183 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 106131024 is about 10301.9912638286. The cubic root of 106131024 is about 473.4572648220.

Adding to 106131024 its reverse (420131601), we get a palindrome (526262625).

The spelling of 106131024 in words is "one hundred six million, one hundred thirty-one thousand, twenty-four".