106421473416960 has 1152 divisors, whose sum is σ = 428453220249600. Its totient is φ = 24797044408320.

The previous prime is 106421473416931. The next prime is 106421473416967. The reversal of 106421473416960 is 69614374124601.

It is a happy number.

106421473416960 is a `hidden beast` number, since 1 + 0 + 6 + 4 + 2 + 1 + 473 + 4 + 169 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×106421473416960² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 106421473416897 and 106421473416906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106421473416967) 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 127 ways as a sum of consecutive naturals, for example, 12147178980 + ... + 12147187740.

Almost surely, 2^{106421473416960} is an apocalyptic number.

106421473416960 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 106421473416960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214226610124800).

106421473416960 is an abundant number, since it is smaller than the sum of its proper divisors (322031746832640).

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

106421473416960 is a wasteful number, since it uses less digits than its factorization.

106421473416960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10246 (or 10226 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 106421473416960 in words is "one hundred six trillion, four hundred twenty-one billion, four hundred seventy-three million, four hundred sixteen thousand, nine hundred sixty".