105362371540 has 24 divisors (see below), whose sum is σ = 226657591272. Its totient is φ = 41117022720.

The previous prime is 105362371493. The next prime is 105362371553. The reversal of 105362371540 is 45173263501.

It can be written as a sum of positive squares in 4 ways, for example, as 4931691076 + 100430680464 = 70226^2 + 316908^2 .

It is a super-2 number, since 2×105362371540² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105362371540.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64244529 + ... + 64246168.

It is an arithmetic number, because the mean of its divisors is an integer number (9444066303).

Almost surely, 2^105362371540 is an apocalyptic number.

105362371540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105362371540 is an abundant number, since it is smaller than the sum of its proper divisors (121295219732).

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

105362371540 is a wasteful number, since it uses less digits than its factorization.

105362371540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128490747 (or 128490745 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 37.

The spelling of 105362371540 in words is "one hundred five billion, three hundred sixty-two million, three hundred seventy-one thousand, five hundred forty".