106349840 has 160 divisors (see below), whose sum is σ = 280458240. Its totient is φ = 37324800.

The previous prime is 106349833. The next prime is 106349849. The reversal of 106349840 is 48943601.

It is a super-2 number, since 2×106349840² = 22620576936051200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106349840.

It is not an unprimeable number, because it can be changed into a prime (106349849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1743410 + ... + 1743470.

It is an arithmetic number, because the mean of its divisors is an integer number (1752864).

Almost surely, 2^106349840 is an apocalyptic number.

106349840 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 106349840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140229120).

106349840 is an abundant number, since it is smaller than the sum of its proper divisors (174108400).

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

106349840 is a wasteful number, since it uses less digits than its factorization.

106349840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 106349840 is about 10312.6058782444. The cubic root of 106349840 is about 473.7824254997.

The spelling of 106349840 in words is "one hundred six million, three hundred forty-nine thousand, eight hundred forty".