106098240 has 224 divisors, whose sum is σ = 361370880. Its totient is φ = 26320896.

The previous prime is 106098229. The next prime is 106098247. The reversal of 106098240 is 42890601.

It is a super-2 number, since 2×106098240² = 22513673062195200, 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 = 106098198 and 106098207.

It is not an unprimeable number, because it can be changed into a prime (106098247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1030029 + ... + 1030131.

Almost surely, 2^106098240 is an apocalyptic number.

106098240 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 106098240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180685440).

106098240 is an abundant number, since it is smaller than the sum of its proper divisors (255272640).

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

106098240 is a wasteful number, since it uses less digits than its factorization.

106098240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 179 counting only the distinct ones).

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

The square root of 106098240 is about 10300.3999922333. The cubic root of 106098240 is about 473.4085092967.

The spelling of 106098240 in words is "one hundred six million, ninety-eight thousand, two hundred forty".