106353354240000 has 4160 divisors, whose sum is σ = 495233154662400. Its totient is φ = 21984804864000.

The previous prime is 106353354239999. The next prime is 106353354240041. The reversal of 106353354240000 is 42453353601.

106353354240000 is a `hidden beast` number, since 1 + 0 + 63 + 5 + 3 + 354 + 240 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×106353354240000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 211438079749 + ... + 211438080251.

Almost surely, 2^{106353354240000} is an apocalyptic number.

106353354240000 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 106353354240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247616577331200).

106353354240000 is an abundant number, since it is smaller than the sum of its proper divisors (388879800422400).

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

106353354240000 is an equidigital number, since it uses as much as digits as its factorization.

106353354240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The spelling of 106353354240000 in words is "one hundred six trillion, three hundred fifty-three billion, three hundred fifty-four million, two hundred forty thousand".