106231794006240 has 1536 divisors, whose sum is σ = 469059558912000. Its totient is φ = 21905847484416.

The previous prime is 106231794006203. The next prime is 106231794006253. The reversal of 106231794006240 is 42600497132601.

106231794006240 is a `hidden beast` number, since 1 + 0 + 6 + 2 + 3 + 17 + 9 + 4 + 0 + 0 + 624 + 0 = 666.

It is a super-2 number, since 2×106231794006240² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1216299852 + ... + 1216387188.

It is an arithmetic number, because the mean of its divisors is an integer number (305377317000).

Almost surely, 2^{106231794006240} is an apocalyptic number.

106231794006240 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 106231794006240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234529779456000).

106231794006240 is an abundant number, since it is smaller than the sum of its proper divisors (362827764905760).

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

106231794006240 is a wasteful number, since it uses less digits than its factorization.

106231794006240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87489 (or 87475 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 106231794006240 in words is "one hundred six trillion, two hundred thirty-one billion, seven hundred ninety-four million, six thousand, two hundred forty".