106131360 has 96 divisors (see below), whose sum is σ = 337139712. Its totient is φ = 28062720.

The previous prime is 106131349. The next prime is 106131367. The reversal of 106131360 is 63131601.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×106131360² = 22527731150899200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106131367) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60090 + ... + 61830.

It is an arithmetic number, because the mean of its divisors is an integer number (3511872).

Almost surely, 2^106131360 is an apocalyptic number.

106131360 is a gapful number since it is divisible by the number (10) 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 106131360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168569856).

106131360 is an abundant number, since it is smaller than the sum of its proper divisors (231008352).

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

106131360 is a wasteful number, since it uses less digits than its factorization.

106131360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1886 (or 1878 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 106131360 is about 10302.0075713426. The cubic root of 106131360 is about 473.4577644606.

Adding to 106131360 its reverse (63131601), we get a palindrome (169262961).

It can be divided in two parts, 106131 and 360, that added together give a triangular number (106491 = T₄₆₁).

The spelling of 106131360 in words is "one hundred six million, one hundred thirty-one thousand, three hundred sixty".