105470976 has 176 divisors, whose sum is σ = 320969600. Its totient is φ = 30523392.

The previous prime is 105470971. The next prime is 105470993. The reversal of 105470976 is 679074501.

It is a super-2 number, since 2×105470976² = 22248253556785152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105470971) 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, 758715 + ... + 758853.

Almost surely, 2^105470976 is an apocalyptic number.

105470976 is a gapful number since it is divisible by the number (16) 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 105470976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160484800).

105470976 is an abundant number, since it is smaller than the sum of its proper divisors (215498624).

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

105470976 is a wasteful number, since it uses less digits than its factorization.

105470976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 39.

The square root of 105470976 is about 10269.9063286867. The cubic root of 105470976 is about 472.4737176389.

The spelling of 105470976 in words is "one hundred five million, four hundred seventy thousand, nine hundred seventy-six".