106273689600 has 936 divisors, whose sum is σ = 401479571520. Its totient is φ = 24741150720.

The previous prime is 106273689589. The next prime is 106273689601. The reversal of 106273689600 is 6986372601.

It is a super-2 number, since 2×106273689600² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 106273689600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106273689601) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1194086356 + ... + 1194086444.

Almost surely, 2^106273689600 is an apocalyptic number.

106273689600 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 106273689600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200739785760).

106273689600 is an abundant number, since it is smaller than the sum of its proper divisors (295205881920).

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

106273689600 is a wasteful number, since it uses less digits than its factorization.

106273689600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The spelling of 106273689600 in words is "one hundred six billion, two hundred seventy-three million, six hundred eighty-nine thousand, six hundred".