106421962320 has 160 divisors (see below), whose sum is σ = 382502304000. Its totient is φ = 27145299456.

The previous prime is 106421962319. The next prime is 106421962321. The reversal of 106421962320 is 23269124601.

It is a happy number.

106421962320 is a `hidden beast` number, since 1 + 0 + 6 + 4 + 2 + 1 + 9 + 623 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (106421962319) and next prime (106421962321).

It is a super-2 number, since 2×106421962320² (a number of 23 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 not an unprimeable number, because it can be changed into a prime (106421962321) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1021395 + ... + 1120754.

It is an arithmetic number, because the mean of its divisors is an integer number (2390639400).

Almost surely, 2^106421962320 is an apocalyptic number.

106421962320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106421962320 is an abundant number, since it is smaller than the sum of its proper divisors (276080341680).

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

106421962320 is a wasteful number, since it uses less digits than its factorization.

106421962320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2142194 (or 2142182 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 106421962320 in words is "one hundred six billion, four hundred twenty-one million, nine hundred sixty-two thousand, three hundred twenty".