106455300 has 144 divisors (see below), whose sum is σ = 355310592. Its totient is φ = 24105600.

The previous prime is 106455289. The next prime is 106455301. The reversal of 106455300 is 3554601.

It is a super-2 number, since 2×106455300² = 22665461796180000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106455301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 342145 + ... + 342455.

Almost surely, 2^106455300 is an apocalyptic number.

106455300 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 106455300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177655296).

106455300 is an abundant number, since it is smaller than the sum of its proper divisors (248855292).

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

106455300 is a wasteful number, since it uses less digits than its factorization.

106455300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 106455300 is about 10317.7177709026. The cubic root of 106455300 is about 473.9389798428.

The spelling of 106455300 in words is "one hundred six million, four hundred fifty-five thousand, three hundred".