106153459344 has 135 divisors (see below), whose sum is σ = 313760667753. Its totient is φ = 33498686592.

The previous prime is 106153459337. The next prime is 106153459351. The reversal of 106153459344 is 443954351601.

The square root of 106153459344 is 325812.

It is a perfect power (a square), and thus also a powerful number.

106153459344 is a `hidden beast` number, since 1 + 0 + 6 + 1 + 53 + 4 + 593 + 4 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (106153459337) and next prime (106153459351).

It can be written as a sum of positive squares in only one way, i.e., 7155129744 + 98998329600 = 84588^2 + 314640^2 .

It is a super-2 number, since 2×106153459344² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106153459344.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 74284422 + ... + 74285850.

Almost surely, 2^106153459344 is an apocalyptic number.

106153459344 is the 325812-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106153459344

106153459344 is an abundant number, since it is smaller than the sum of its proper divisors (207607208409).

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

106153459344 is an equidigital number, since it uses as much as digits as its factorization.

106153459344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2910 (or 1453 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 106153459344 in words is "one hundred six billion, one hundred fifty-three million, four hundred fifty-nine thousand, three hundred forty-four".