106397380734480 has 1920 divisors, whose sum is σ = 429097336012800. Its totient is φ = 23340242534400.

The previous prime is 106397380734427. The next prime is 106397380734503. The reversal of 106397380734480 is 84437083793601.

106397380734480 is a `hidden beast` number, since 1 + 0 + 6 + 3 + 9 + 7 + 3 + 80 + 73 + 4 + 480 = 666.

It is a super-2 number, since 2×106397380734480² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 146351279877 + ... + 146351280603.

It is an arithmetic number, because the mean of its divisors is an integer number (223488195840).

Almost surely, 2^{106397380734480} is an apocalyptic number.

106397380734480 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 106397380734480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214548668006400).

106397380734480 is an abundant number, since it is smaller than the sum of its proper divisors (322699955278320).

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

106397380734480 is a wasteful number, since it uses less digits than its factorization.

106397380734480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1173 (or 1164 counting only the distinct ones).

The product of its (nonzero) digits is 73156608, while the sum is 63.

The spelling of 106397380734480 in words is "one hundred six trillion, three hundred ninety-seven billion, three hundred eighty million, seven hundred thirty-four thousand, four hundred eighty".