106417932548400 has 1680 divisors, whose sum is σ = 449027499829248. Its totient is φ = 23937887232000.

The previous prime is 106417932548381. The next prime is 106417932548401. The reversal of 106417932548400 is 4845239714601.

106417932548400 is a `hidden beast` number, since 1 + 0 + 6 + 4 + 1 + 7 + 93 + 2 + 548 + 4 + 0 + 0 = 666.

It is a super-2 number, since 2×106417932548400² (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 not an unprimeable number, because it can be changed into a prime (106417932548401) 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 335 ways as a sum of consecutive naturals, for example, 3871559457 + ... + 3871586943.

It is a 1-persistent number, because it is pandigital, but 2⋅106417932548400 = 212835865096800 is not.

Almost surely, 2^{106417932548400} is an apocalyptic number.

106417932548400 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 106417932548400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224513749914624).

106417932548400 is an abundant number, since it is smaller than the sum of its proper divisors (342609567280848).

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

106417932548400 is a wasteful number, since it uses less digits than its factorization.

106417932548400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27622 (or 27596 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 106417932548400 in words is "one hundred six trillion, four hundred seventeen billion, nine hundred thirty-two million, five hundred forty-eight thousand, four hundred".