106172821480 has 64 divisors (see below), whose sum is σ = 260675081280. Its totient is φ = 38598067200.

The previous prime is 106172821457. The next prime is 106172821481. The reversal of 106172821480 is 84128271601.

It is a super-2 number, since 2×106172821480² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (106172821481) 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 15 ways as a sum of consecutive naturals, for example, 1741920 + ... + 1801840.

It is an arithmetic number, because the mean of its divisors is an integer number (4073048145).

Almost surely, 2^106172821480 is an apocalyptic number.

106172821480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106172821480 is an abundant number, since it is smaller than the sum of its proper divisors (154502259800).

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

106172821480 is a wasteful number, since it uses less digits than its factorization.

106172821480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63970 (or 63966 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 40.

The spelling of 106172821480 in words is "one hundred six billion, one hundred seventy-two million, eight hundred twenty-one thousand, four hundred eighty".