105519879360 has 560 divisors, whose sum is σ = 437108291136. Its totient is φ = 23661600768.

The previous prime is 105519879337. The next prime is 105519879383. The reversal of 105519879360 is 63978915501.

105519879360 is a `hidden beast` number, since 1 + 0 + 551 + 9 + 87 + 9 + 3 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (105519879337) and next prime (105519879383).

It is a tau number, because it is divible by the number of its divisors (560).

It is a super-2 number, since 2×105519879360² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 105519879297 and 105519879306.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9610834 + ... + 9621806.

Almost surely, 2^105519879360 is an apocalyptic number.

105519879360 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 105519879360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218554145568).

105519879360 is an abundant number, since it is smaller than the sum of its proper divisors (331588411776).

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

105519879360 is a wasteful number, since it uses less digits than its factorization.

105519879360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11062 (or 11043 counting only the distinct ones).

The product of its (nonzero) digits is 2041200, while the sum is 54.

The spelling of 105519879360 in words is "one hundred five billion, five hundred nineteen million, eight hundred seventy-nine thousand, three hundred sixty".