105801653760 has 640 divisors, whose sum is σ = 380135669760. Its totient is φ = 24888115200.

The previous prime is 105801653717. The next prime is 105801653777. The reversal of 105801653760 is 67356108501.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×105801653760² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 553935265 + ... + 553935455.

It is an arithmetic number, because the mean of its divisors is an integer number (593961984).

Almost surely, 2^105801653760 is an apocalyptic number.

105801653760 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 105801653760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190067834880).

105801653760 is an abundant number, since it is smaller than the sum of its proper divisors (274334016000).

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

105801653760 is a wasteful number, since it uses less digits than its factorization.

105801653760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 42.

The spelling of 105801653760 in words is "one hundred five billion, eight hundred one million, six hundred fifty-three thousand, seven hundred sixty".