106054574745600 has 6048 divisors, whose sum is σ = 482639958440640. Its totient is φ = 22955289477120.

The previous prime is 106054574745521. The next prime is 106054574745601. The reversal of 106054574745600 is 6547475450601.

106054574745600 is a `hidden beast` number, since 1 + 0 + 6 + 0 + 5 + 4 + 5 + 7 + 4 + 74 + 560 + 0 = 666.

It is a super-2 number, since 2×106054574745600² (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 (106054574745601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 503 ways as a sum of consecutive naturals, for example, 2466385459179 + ... + 2466385459221.

It is an arithmetic number, because the mean of its divisors is an integer number (79801580430).

Almost surely, 2^{106054574745600} is an apocalyptic number.

106054574745600 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 106054574745600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241319979220320).

106054574745600 is an abundant number, since it is smaller than the sum of its proper divisors (376585383695040).

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

106054574745600 is a wasteful number, since it uses less digits than its factorization.

106054574745600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 14112000, while the sum is 54.

The spelling of 106054574745600 in words is "one hundred six trillion, fifty-four billion, five hundred seventy-four million, seven hundred forty-five thousand, six hundred".