105470370 has 64 divisors (see below), whose sum is σ = 290350080. Its totient is φ = 27216000.

The previous prime is 105470369. The next prime is 105470377. The reversal of 105470370 is 73074501.

It is a super-2 number, since 2×105470370² = 22247997895873800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (105470377) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2070 + ... + 14670.

It is an arithmetic number, because the mean of its divisors is an integer number (4536720).

Almost surely, 2^105470370 is an apocalyptic number.

105470370 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 105470370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145175040).

105470370 is an abundant number, since it is smaller than the sum of its proper divisors (184879710).

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

105470370 is a wasteful number, since it uses less digits than its factorization.

105470370 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12648 (or 12642 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 105470370 is about 10269.8768249673. The cubic root of 105470370 is about 472.4728127466.

The spelling of 105470370 in words is "one hundred five million, four hundred seventy thousand, three hundred seventy".