105161400 has 144 divisors (see below), whose sum is σ = 362941800. Its totient is φ = 27267840.

The previous prime is 105161387. The next prime is 105161401. The reversal of 105161400 is 4161501.

105161400 is a `hidden beast` number, since 1 + 0 + 51 + 614 + 0 + 0 = 666.

It is a super-2 number, since 2×105161400² = 22117840099920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105161401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 65811 + ... + 67389.

Almost surely, 2^105161400 is an apocalyptic number.

105161400 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 105161400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181470900).

105161400 is an abundant number, since it is smaller than the sum of its proper divisors (257780400).

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

105161400 is a wasteful number, since it uses less digits than its factorization.

105161400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1638 (or 1626 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 105161400 is about 10254.8232554247. The cubic root of 105161400 is about 472.0109999352.

The spelling of 105161400 in words is "one hundred five million, one hundred sixty-one thousand, four hundred".