106049040 has 80 divisors (see below), whose sum is σ = 330568128. Its totient is φ = 28123648.

The previous prime is 106049039. The next prime is 106049057. The reversal of 106049040 is 40940601.

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

It is a super-2 number, since 2×106049040² = 22492797769843200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 106049040.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46159 + ... + 48401.

Almost surely, 2^106049040 is an apocalyptic number.

106049040 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 106049040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165284064).

106049040 is an abundant number, since it is smaller than the sum of its proper divisors (224519088).

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

106049040 is a wasteful number, since it uses less digits than its factorization.

106049040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2456 (or 2450 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 106049040 is about 10298.0114585293. The cubic root of 106049040 is about 473.3353214667.

Adding to 106049040 its reverse (40940601), we get a palindrome (146989641).

The spelling of 106049040 in words is "one hundred six million, forty-nine thousand, forty".