106289040 has 320 divisors, whose sum is σ = 409973760. Its totient is φ = 22394880.

The previous prime is 106289039. The next prime is 106289047. The reversal of 106289040 is 40982601.

It is a super-2 number, since 2×106289040² = 22594720048243200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 106288989 and 106289007.

It is not an unprimeable number, because it can be changed into a prime (106289047) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 651999 + ... + 652161.

It is an arithmetic number, because the mean of its divisors is an integer number (1281168).

Almost surely, 2^106289040 is an apocalyptic number.

106289040 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 106289040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204986880).

106289040 is an abundant number, since it is smaller than the sum of its proper divisors (303684720).

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

106289040 is a wasteful number, since it uses less digits than its factorization.

106289040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 106289040 is about 10309.6576082817. The cubic root of 106289040 is about 473.6921214533.

The spelling of 106289040 in words is "one hundred six million, two hundred eighty-nine thousand, forty".