106202807040 has 576 divisors, whose sum is σ = 385697894400. Its totient is φ = 24669388800.

The previous prime is 106202807021. The next prime is 106202807083. The reversal of 106202807040 is 40708202601.

It is a super-2 number, since 2×106202807040² (a number of 23 digits) 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 = 106202806989 and 106202807007.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 221717521 + ... + 221717999.

It is an arithmetic number, because the mean of its divisors is an integer number (669614400).

Almost surely, 2^106202807040 is an apocalyptic number.

106202807040 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 106202807040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192848947200).

106202807040 is an abundant number, since it is smaller than the sum of its proper divisors (279495087360).

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

106202807040 is a wasteful number, since it uses less digits than its factorization.

106202807040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 724 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The spelling of 106202807040 in words is "one hundred six billion, two hundred two million, eight hundred seven thousand, forty".