106138640 has 80 divisors (see below), whose sum is σ = 254448000. Its totient is φ = 41158656.

The previous prime is 106138639. The next prime is 106138649. The reversal of 106138640 is 46831601.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×106138640² = 22530821802099200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106138649) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 533261 + ... + 533459.

It is an arithmetic number, because the mean of its divisors is an integer number (3180600).

Almost surely, 2^106138640 is an apocalyptic number.

106138640 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 106138640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127224000).

106138640 is an abundant number, since it is smaller than the sum of its proper divisors (148309360).

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

106138640 is a wasteful number, since it uses less digits than its factorization.

106138640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 106138640 is about 10302.3608944746. The cubic root of 106138640 is about 473.4685897050.

The spelling of 106138640 in words is "one hundred six million, one hundred thirty-eight thousand, six hundred forty".