106092272025600 has 1008 divisors, whose sum is σ = 403426085744640. Its totient is φ = 24098793062400.

The previous prime is 106092272025563. The next prime is 106092272025613. The reversal of 106092272025600 is 6520272290601.

It is a super-2 number, since 2×106092272025600² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 105145957896 + ... + 105145958904.

Almost surely, 2^{106092272025600} is an apocalyptic number.

106092272025600 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 106092272025600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201713042872320).

106092272025600 is an abundant number, since it is smaller than the sum of its proper divisors (297333813719040).

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

106092272025600 is an frugal number, since it uses more digits than its factorization.

106092272025600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1260 (or 1217 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 106092272025600 in words is "one hundred six trillion, ninety-two billion, two hundred seventy-two million, twenty-five thousand, six hundred".