106777126400 has 240 divisors, whose sum is σ = 303583221216. Its totient is φ = 36458987520.

The previous prime is 106777126373. The next prime is 106777126481. The reversal of 106777126400 is 4621777601.

It is a super-2 number, since 2×106777126400² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23024882 + ... + 23029518.

Almost surely, 2^106777126400 is an apocalyptic number.

106777126400 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 106777126400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151791610608).

106777126400 is an abundant number, since it is smaller than the sum of its proper divisors (196806094816).

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

106777126400 is an equidigital number, since it uses as much as digits as its factorization.

106777126400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4929 (or 4908 counting only the distinct ones).

The product of its (nonzero) digits is 98784, while the sum is 41.

The spelling of 106777126400 in words is "one hundred six billion, seven hundred seventy-seven million, one hundred twenty-six thousand, four hundred".