106439040 has 192 divisors, whose sum is σ = 389525760. Its totient is φ = 26689536.

The previous prime is 106439033. The next prime is 106439059. The reversal of 106439040 is 40934601.

106439040 is a `hidden beast` number, since 10 + 643 + 9 + 0 + 4 + 0 = 666.

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

It is a super-2 number, since 2×106439040² = 22658538472243200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106438995 and 106439013.

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, 97377 + ... + 98463.

It is an arithmetic number, because the mean of its divisors is an integer number (2028780).

Almost surely, 2^106439040 is an apocalyptic number.

106439040 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 106439040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194762880).

106439040 is an abundant number, since it is smaller than the sum of its proper divisors (283086720).

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

106439040 is a wasteful number, since it uses less digits than its factorization.

106439040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1129 (or 1114 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 106439040 is about 10316.9297758587. The cubic root of 106439040 is about 473.9148487749.

It can be divided in two parts, 10643 and 9040, that added together give a 9-th power (19683 = 3⁹).

The spelling of 106439040 in words is "one hundred six million, four hundred thirty-nine thousand, forty".