105116693760 has 720 divisors, whose sum is σ = 408357645696. Its totient is φ = 25664864256.

The previous prime is 105116693711. The next prime is 105116693761. The reversal of 105116693760 is 67396611501.

105116693760 is a `hidden beast` number, since 1 + 0 + 511 + 6 + 69 + 3 + 76 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×105116693760² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105116693761) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 225089047 + ... + 225089513.

Almost surely, 2^105116693760 is an apocalyptic number.

105116693760 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 105116693760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204178822848).

105116693760 is an abundant number, since it is smaller than the sum of its proper divisors (303240951936).

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

105116693760 is a wasteful number, since it uses less digits than its factorization.

105116693760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 680 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 105116693760 in words is "one hundred five billion, one hundred sixteen million, six hundred ninety-three thousand, seven hundred sixty".