105477944 has 64 divisors (see below), whose sum is σ = 234390240. Its totient is φ = 43868160.

The previous prime is 105477941. The next prime is 105477947. The reversal of 105477944 is 449774501.

It is an interprime number because it is at equal distance from previous prime (105477941) and next prime (105477947).

It is a super-2 number, since 2×105477944² = 22251193340934272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105477941) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 156392 + ... + 157064.

Almost surely, 2^105477944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105477944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117195120).

105477944 is an abundant number, since it is smaller than the sum of its proper divisors (128912296).

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

105477944 is a wasteful number, since it uses less digits than its factorization.

105477944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 840 (or 836 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 41.

The square root of 105477944 is about 10270.2455666844. The cubic root of 105477944 is about 472.4841221580.

The spelling of 105477944 in words is "one hundred five million, four hundred seventy-seven thousand, nine hundred forty-four".