106015680 has 168 divisors, whose sum is σ = 368740944. Its totient is φ = 27955200.

The previous prime is 106015673. The next prime is 106015681. The reversal of 106015680 is 86510601.

106015680 is a `hidden beast` number, since 1 + 0 + 601 + 56 + 8 + 0 = 666.

It is a super-2 number, since 2×106015680² = 22478648811724800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106015681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 377140 + ... + 377420.

Almost surely, 2^106015680 is an apocalyptic number.

106015680 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 106015680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184370472).

106015680 is an abundant number, since it is smaller than the sum of its proper divisors (262725264).

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

106015680 is a wasteful number, since it uses less digits than its factorization.

106015680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 106015680 is about 10296.3916009445. The cubic root of 106015680 is about 473.2856836690.

The spelling of 106015680 in words is "one hundred six million, fifteen thousand, six hundred eighty".