106380540 has 288 divisors, whose sum is σ = 396264960. Its totient is φ = 23452416.

The previous prime is 106380529. The next prime is 106380541. The reversal of 106380540 is 45083601.

It is a super-2 number, since 2×106380540² = 22633638581383200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106380541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1803031 + ... + 1803089.

It is an arithmetic number, because the mean of its divisors is an integer number (1375920).

Almost surely, 2^106380540 is an apocalyptic number.

106380540 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 106380540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198132480).

106380540 is an abundant number, since it is smaller than the sum of its proper divisors (289884420).

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

106380540 is a wasteful number, since it uses less digits than its factorization.

106380540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 106380540 is about 10314.0942404072. The cubic root of 106380540 is about 473.8280100256.

The spelling of 106380540 in words is "one hundred six million, three hundred eighty thousand, five hundred forty".