106292584710144 has 2040 divisors, whose sum is σ = 391394405603520. Its totient is φ = 28605822271488.

The previous prime is 106292584710131. The next prime is 106292584710173. The reversal of 106292584710144 is 441017485292601.

106292584710144 is a `hidden beast` number, since 1 + 0 + 6 + 2 + 9 + 2 + 584 + 7 + 10 + 1 + 44 = 666.

It is a super-2 number, since 2×106292584710144² (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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 652101746607 + ... + 652101746769.

Almost surely, 2^{106292584710144} is an apocalyptic number.

106292584710144 is a gapful number since it is divisible by the number (14) 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 106292584710144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195697202801760).

106292584710144 is an abundant number, since it is smaller than the sum of its proper divisors (285101820893376).

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

106292584710144 is an equidigital number, since it uses as much as digits as its factorization.

106292584710144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 106292584710144 in words is "one hundred six trillion, two hundred ninety-two billion, five hundred eighty-four million, seven hundred ten thousand, one hundred forty-four".