106002382295040 has 2496 divisors, whose sum is σ = 440579254714368. Its totient is φ = 21287597506560.

The previous prime is 106002382295021. The next prime is 106002382295057. The reversal of 106002382295040 is 40592283200601.

It is a super-2 number, since 2×106002382295040² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 106002382294983 and 106002382295001.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 284188692294 + ... + 284188692666.

Almost surely, 2^{106002382295040} is an apocalyptic number.

106002382295040 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 106002382295040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220289627357184).

106002382295040 is an abundant number, since it is smaller than the sum of its proper divisors (334576872419328).

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

106002382295040 is a wasteful number, since it uses less digits than its factorization.

106002382295040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 106002382295040 in words is "one hundred six trillion, two billion, three hundred eighty-two million, two hundred ninety-five thousand, forty".