106484967014400 has 2160 divisors, whose sum is σ = 429945255742464. Its totient is φ = 26005292974080.

The previous prime is 106484967014389. The next prime is 106484967014449. The reversal of 106484967014400 is 4410769484601.

106484967014400 is a `hidden beast` number, since 1 + 0 + 6 + 4 + 8 + 496 + 7 + 0 + 144 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a super-2 number, since 2×106484967014400² (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 an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 838464307137 + ... + 838464307263.

Almost surely, 2^{106484967014400} is an apocalyptic number.

106484967014400 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 106484967014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214972627871232).

106484967014400 is an abundant number, since it is smaller than the sum of its proper divisors (323460288728064).

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

106484967014400 is an frugal number, since it uses more digits than its factorization.

106484967014400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 106484967014400 in words is "one hundred six trillion, four hundred eighty-four billion, nine hundred sixty-seven million, fourteen thousand, four hundred".