105961401697536 has 3240 divisors, whose sum is σ = 418491796060800. Its totient is φ = 26555848704000.

The previous prime is 105961401697499. The next prime is 105961401697559. The reversal of 105961401697536 is 635796104169501.

It is a happy number.

105961401697536 is a `hidden beast` number, since 1 + 0 + 5 + 9 + 6 + 1 + 4 + 0 + 1 + 6 + 97 + 536 = 666.

It is a super-2 number, since 2×105961401697536² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 532469355165 + ... + 532469355363.

Almost surely, 2^{105961401697536} is an apocalyptic number.

105961401697536 is a gapful number since it is divisible by the number (16) 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 105961401697536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209245898030400).

105961401697536 is an abundant number, since it is smaller than the sum of its proper divisors (312530394363264).

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

105961401697536 is a wasteful number, since it uses less digits than its factorization.

105961401697536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 36741600, while the sum is 63.

The spelling of 105961401697536 in words is "one hundred five trillion, nine hundred sixty-one billion, four hundred one million, six hundred ninety-seven thousand, five hundred thirty-six".