106277923584 has 432 divisors, whose sum is σ = 367978867200. Its totient is φ = 30167230464.

The previous prime is 106277923561. The next prime is 106277923589. The reversal of 106277923584 is 485329772601.

It is a happy number.

106277923584 is a `hidden beast` number, since 1 + 0 + 627 + 7 + 9 + 2 + 3 + 5 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×106277923584² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 106277923584.

It is not an unprimeable number, because it can be changed into a prime (106277923589) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56559957 + ... + 56561835.

It is a 1-persistent number, because it is pandigital, but 2⋅106277923584 = 212555847168 is not.

Almost surely, 2^106277923584 is an apocalyptic number.

106277923584 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 106277923584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183989433600).

106277923584 is an abundant number, since it is smaller than the sum of its proper divisors (261700943616).

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

106277923584 is a wasteful number, since it uses less digits than its factorization.

106277923584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2085 (or 2058 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 106277923584 in words is "one hundred six billion, two hundred seventy-seven million, nine hundred twenty-three thousand, five hundred eighty-four".