105115703940 has 120 divisors (see below), whose sum is σ = 355117455000. Its totient is φ = 25874629632.

The previous prime is 105115703939. The next prime is 105115703941. The reversal of 105115703940 is 49307511501.

It is a happy number.

105115703940 is a `hidden beast` number, since 1 + 0 + 5 + 11 + 570 + 39 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (105115703939) and next prime (105115703941).

It can be written as a sum of positive squares in 4 ways, for example, as 279625284 + 104836078656 = 16722^2 + 323784^2 .

It is a super-2 number, since 2×105115703940² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 105115703895 and 105115703904.

It is not an unprimeable number, because it can be changed into a prime (105115703941) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2474565 + ... + 2516684.

It is an arithmetic number, because the mean of its divisors is an integer number (2959312125).

Almost surely, 2^105115703940 is an apocalyptic number.

105115703940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105115703940 is an abundant number, since it is smaller than the sum of its proper divisors (250001751060).

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

105115703940 is a wasteful number, since it uses less digits than its factorization.

105115703940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4991283 (or 4991272 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 36.

The spelling of 105115703940 in words is "one hundred five billion, one hundred fifteen million, seven hundred three thousand, nine hundred forty".