105016740 has 48 divisors (see below), whose sum is σ = 296919168. Its totient is φ = 27730944.

The previous prime is 105016729. The next prime is 105016757. The reversal of 105016740 is 47610501.

It is a super-2 number, since 2×105016740² = 22057031360455200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105016740.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2317 + ... + 14676.

It is an arithmetic number, because the mean of its divisors is an integer number (6185816).

Almost surely, 2^105016740 is an apocalyptic number.

105016740 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 105016740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148459584).

105016740 is an abundant number, since it is smaller than the sum of its proper divisors (191902428).

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

105016740 is a wasteful number, since it uses less digits than its factorization.

105016740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17108 (or 17106 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 105016740 is about 10247.7675617668. The cubic root of 105016740 is about 471.7944678731.

The spelling of 105016740 in words is "one hundred five million, sixteen thousand, seven hundred forty".