106663621478400 has 1728 divisors, whose sum is σ = 482575466318400. Its totient is φ = 22945875886080.

The previous prime is 106663621478347. The next prime is 106663621478411. The reversal of 106663621478400 is 4874126366601.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×106663621478400² (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 143 ways as a sum of consecutive naturals, for example, 1151492887 + ... + 1151585513.

It is an arithmetic number, because the mean of its divisors is an integer number (279268209675).

Almost surely, 2^{106663621478400} is an apocalyptic number.

106663621478400 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 106663621478400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241287733159200).

106663621478400 is an abundant number, since it is smaller than the sum of its proper divisors (375911844840000).

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

106663621478400 is a wasteful number, since it uses less digits than its factorization.

106663621478400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92699 (or 92661 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 106663621478400 in words is "one hundred six trillion, six hundred sixty-three billion, six hundred twenty-one million, four hundred seventy-eight thousand, four hundred".