106268454400 has 120 divisors (see below), whose sum is σ = 265621999104. Its totient is φ = 42130636800.

The previous prime is 106268454377. The next prime is 106268454403. The reversal of 106268454400 is 4454862601.

It is a super-2 number, since 2×106268454400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106268454403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1409665 + ... + 1483135.

Almost surely, 2^106268454400 is an apocalyptic number.

106268454400 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 106268454400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132810999552).

106268454400 is an abundant number, since it is smaller than the sum of its proper divisors (159353544704).

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

106268454400 is an equidigital number, since it uses as much as digits as its factorization.

106268454400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73612 (or 73591 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 40.

The spelling of 106268454400 in words is "one hundred six billion, two hundred sixty-eight million, four hundred fifty-four thousand, four hundred".