106415640 has 64 divisors (see below), whose sum is σ = 354722400. Its totient is φ = 28377216.

The previous prime is 106415633. The next prime is 106415689. The reversal of 106415640 is 46514601.

106415640 is a `hidden beast` number, since 1 + 0 + 6 + 4 + 15 + 640 = 666.

It is a super-2 number, since 2×106415640² = 22648576873219200, 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 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 15 ways as a sum of consecutive naturals, for example, 48187 + ... + 50346.

Almost surely, 2^106415640 is an apocalyptic number.

106415640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106415640 is an abundant number, since it is smaller than the sum of its proper divisors (248306760).

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

106415640 is a wasteful number, since it uses less digits than its factorization.

106415640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98553 (or 98543 counting only the distinct ones).

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

The square root of 106415640 is about 10315.7956552076. The cubic root of 106415640 is about 473.8801170943.

The spelling of 106415640 in words is "one hundred six million, four hundred fifteen thousand, six hundred forty".