106850095796224 has 117 divisors (see below), whose sum is σ = 234880922281719. Its totient is φ = 48564917575680.

The previous prime is 106850095796183. The next prime is 106850095796233. The reversal of 106850095796224 is 422697590058601.

The square root of 106850095796224 is 10336832.

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

It is a super-2 number, since 2×106850095796224² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7277122387 + ... + 7277137069.

Almost surely, 2^{106850095796224} is an apocalyptic number.

106850095796224 is the 10336832-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106850095796224

106850095796224 is an abundant number, since it is smaller than the sum of its proper divisors (128030826485495).

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

106850095796224 is an frugal number, since it uses more digits than its factorization.

106850095796224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29412 (or 14696 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 64.

106850095796224 divided by its sum of digits (64) gives a square (1669532746816 = 1292104²).

The spelling of 106850095796224 in words is "one hundred six trillion, eight hundred fifty billion, ninety-five million, seven hundred ninety-six thousand, two hundred twenty-four".