105366450 has 96 divisors (see below), whose sum is σ = 311694336. Its totient is φ = 23031360.

The previous prime is 105366449. The next prime is 105366451. The reversal of 105366450 is 54663501.

It is an interprime number because it is at equal distance from previous prime (105366449) and next prime (105366451).

It is a super-2 number, since 2×105366450² = 22204177571205000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (105366451) 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, 21969 + ... + 26331.

It is an arithmetic number, because the mean of its divisors is an integer number (3246816).

Almost surely, 2^105366450 is an apocalyptic number.

105366450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 105366450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155847168).

105366450 is an abundant number, since it is smaller than the sum of its proper divisors (206327886).

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

105366450 is a wasteful number, since it uses less digits than its factorization.

105366450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4408 (or 4403 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 105366450 is about 10264.8161211003. The cubic root of 105366450 is about 472.3175858666.

The spelling of 105366450 in words is "one hundred five million, three hundred sixty-six thousand, four hundred fifty".