106225428743280 has 1920 divisors, whose sum is σ = 489704514048000. Its totient is φ = 20870482913280.

The previous prime is 106225428743251. The next prime is 106225428743347. The reversal of 106225428743280 is 82347824522601.

106225428743280 is a `hidden beast` number, since 1 + 0 + 6 + 2 + 2 + 54 + 2 + 87 + 432 + 80 = 666.

It is a super-2 number, since 2×106225428743280² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 12099941931 + ... + 12099950709.

It is an arithmetic number, because the mean of its divisors is an integer number (255054434400).

Almost surely, 2^{106225428743280} is an apocalyptic number.

106225428743280 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 106225428743280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244852257024000).

106225428743280 is an abundant number, since it is smaller than the sum of its proper divisors (383479085304720).

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

106225428743280 is a wasteful number, since it uses less digits than its factorization.

106225428743280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9392 (or 9373 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 54.

The spelling of 106225428743280 in words is "one hundred six trillion, two hundred twenty-five billion, four hundred twenty-eight million, seven hundred forty-three thousand, two hundred eighty".