106209721212480 has 280 divisors, whose sum is σ = 394233042278592. Its totient is φ = 27091175113728.

The previous prime is 106209721212451. The next prime is 106209721212523. The reversal of 106209721212480 is 84212127902601.

106209721212480 is a `hidden beast` number, since 1 + 0 + 62 + 0 + 97 + 2 + 1 + 21 + 2 + 480 = 666.

106209721212480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×106209721212480² (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 an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 88482042 + ... + 89674361.

Almost surely, 2^{106209721212480} is an apocalyptic number.

106209721212480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106209721212480 is an abundant number, since it is smaller than the sum of its proper divisors (288023321066112).

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

106209721212480 is a wasteful number, since it uses less digits than its factorization.

106209721212480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178156455 (or 178156436 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 106209721212480 in words is "one hundred six trillion, two hundred nine billion, seven hundred twenty-one million, two hundred twelve thousand, four hundred eighty".