106260952406400 has 2304 divisors, whose sum is σ = 462324114720000. Its totient is φ = 22903691673600.

The previous prime is 106260952406393. The next prime is 106260952406429. The reversal of 106260952406400 is 4604259062601.

106260952406400 is a `hidden beast` number, since 1 + 0 + 6 + 2 + 60 + 9 + 524 + 0 + 64 + 0 + 0 = 666.

It is a super-2 number, since 2×106260952406400² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 41851496331 + ... + 41851498869.

It is an arithmetic number, because the mean of its divisors is an integer number (200661508125).

Almost surely, 2^{106260952406400} is an apocalyptic number.

106260952406400 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 106260952406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231162057360000).

106260952406400 is an abundant number, since it is smaller than the sum of its proper divisors (356063162313600).

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

106260952406400 is a wasteful number, since it uses less digits than its factorization.

106260952406400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3025 (or 3005 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 106260952406400 in words is "one hundred six trillion, two hundred sixty billion, nine hundred fifty-two million, four hundred six thousand, four hundred".