106302614137920 has 392 divisors, whose sum is σ = 380299408421760. Its totient is φ = 28289599349760.

The previous prime is 106302614137847. The next prime is 106302614137927. The reversal of 106302614137920 is 29731416203601.

106302614137920 is a `hidden beast` number, since 1 + 0 + 6 + 3 + 0 + 2 + 614 + 1 + 3 + 7 + 9 + 20 = 666.

It is a super-2 number, since 2×106302614137920² (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 not an unprimeable number, because it can be changed into a prime (106302614137927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 114076441 + ... + 115004519.

Almost surely, 2^{106302614137920} is an apocalyptic number.

106302614137920 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 106302614137920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190149704210880).

106302614137920 is an abundant number, since it is smaller than the sum of its proper divisors (273996794283840).

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

106302614137920 is an frugal number, since it uses more digits than its factorization.

106302614137920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 928605 (or 928580 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 106302614137920 in words is "one hundred six trillion, three hundred two billion, six hundred fourteen million, one hundred thirty-seven thousand, nine hundred twenty".