106273675200 has 336 divisors, whose sum is σ = 434702248704. Its totient is φ = 22082764800.

The previous prime is 106273675159. The next prime is 106273675223. The reversal of 106273675200 is 2576372601.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×106273675200² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 225832 + ... + 513368.

Almost surely, 2^106273675200 is an apocalyptic number.

106273675200 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 106273675200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217351124352).

106273675200 is an abundant number, since it is smaller than the sum of its proper divisors (328428573504).

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

106273675200 is a wasteful number, since it uses less digits than its factorization.

106273675200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287580 (or 287565 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 39.

The spelling of 106273675200 in words is "one hundred six billion, two hundred seventy-three million, six hundred seventy-five thousand, two hundred".