106415380 has 24 divisors (see below), whose sum is σ = 224120232. Its totient is φ = 42442752.

The previous prime is 106415369. The next prime is 106415381. The reversal of 106415380 is 83514601.

It can be written as a sum of positive squares in 4 ways, for example, as 7333264 + 99082116 = 2708^2 + 9954^2 .

It is a super-2 number, since 2×106415380² = 22648466201088800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106415381) 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, 477 + ... + 14596.

It is an arithmetic number, because the mean of its divisors is an integer number (9338343).

Almost surely, 2^106415380 is an apocalyptic number.

106415380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106415380 is an abundant number, since it is smaller than the sum of its proper divisors (117704852).

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

106415380 is a wasteful number, since it uses less digits than its factorization.

106415380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15435 (or 15433 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 106415380 is about 10315.7830531666. The cubic root of 106415380 is about 473.8797311582.

Adding to 106415380 its reverse (83514601), we get a palindrome (189929981).

The spelling of 106415380 in words is "one hundred six million, four hundred fifteen thousand, three hundred eighty".