106090204766400 has 840 divisors, whose sum is σ = 395613834597520. Its totient is φ = 27998258135040.

The previous prime is 106090204766389. The next prime is 106090204766401. The reversal of 106090204766400 is 4667402090601.

106090204766400 is a `hidden beast` number, since 1 + 0 + 60 + 90 + 2 + 0 + 47 + 66 + 400 = 666.

It is a super-2 number, since 2×106090204766400² (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 not an unprimeable number, because it can be changed into a prime (106090204766401) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3054784236 + ... + 3054818964.

Almost surely, 2^{106090204766400} is an apocalyptic number.

106090204766400 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 106090204766400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197806917298760).

106090204766400 is an abundant number, since it is smaller than the sum of its proper divisors (289523629831120).

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

106090204766400 is an frugal number, since it uses more digits than its factorization.

106090204766400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34875 (or 34836 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 106090204766400 in words is "one hundred six trillion, ninety billion, two hundred four million, seven hundred sixty-six thousand, four hundred".