106727040 has 192 divisors, whose sum is σ = 421349760. Its totient is φ = 24385536.

The previous prime is 106727039. The next prime is 106727077. The reversal of 106727040 is 40727601.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×106727040² = 22781322134323200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106726995 and 106727013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38997 + ... + 41643.

It is an arithmetic number, because the mean of its divisors is an integer number (2194530).

Almost surely, 2^106727040 is an apocalyptic number.

106727040 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 106727040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210674880).

106727040 is an abundant number, since it is smaller than the sum of its proper divisors (314622720).

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

106727040 is a wasteful number, since it uses less digits than its factorization.

106727040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2679 (or 2664 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 106727040 is about 10330.8779878576. The cubic root of 106727040 is about 474.3418993500.

The spelling of 106727040 in words is "one hundred six million, seven hundred twenty-seven thousand, forty".