106451540 has 24 divisors (see below), whose sum is σ = 240744840. Its totient is φ = 39305088.

The previous prime is 106451533. The next prime is 106451549. The reversal of 106451540 is 45154601.

It can be written as a sum of positive squares in 4 ways, for example, as 31684 + 106419856 = 178^2 + 10316^2 .

It is a super-2 number, since 2×106451540² = 22663860736743200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106451549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 204455 + ... + 204974.

It is an arithmetic number, because the mean of its divisors is an integer number (10031035).

Almost surely, 2^106451540 is an apocalyptic number.

106451540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106451540 is an abundant number, since it is smaller than the sum of its proper divisors (134293300).

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

106451540 is a wasteful number, since it uses less digits than its factorization.

106451540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409451 (or 409449 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The square root of 106451540 is about 10317.5355584558. The cubic root of 106451540 is about 473.9333999373.

The spelling of 106451540 in words is "one hundred six million, four hundred fifty-one thousand, five hundred forty".