105407730 has 80 divisors (see below), whose sum is σ = 285405120. Its totient is φ = 27913248.

The previous prime is 105407717. The next prime is 105407747. The reversal of 105407730 is 37704501.

It is a super-2 number, since 2×105407730² = 22221579087505800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 105407694 and 105407703.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 144627 + ... + 145353.

It is an arithmetic number, because the mean of its divisors is an integer number (3567564).

Almost surely, 2^105407730 is an apocalyptic number.

105407730 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 105407730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142702560).

105407730 is an abundant number, since it is smaller than the sum of its proper divisors (179997390).

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

105407730 is a wasteful number, since it uses less digits than its factorization.

105407730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 925 (or 916 counting only the distinct ones).

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

The square root of 105407730 is about 10266.8266762423. The cubic root of 105407730 is about 472.3792586423.

The spelling of 105407730 in words is "one hundred five million, four hundred seven thousand, seven hundred thirty".