105966551040 has 480 divisors, whose sum is σ = 400225050624. Its totient is φ = 23427809280.

The previous prime is 105966551039. The next prime is 105966551059. The reversal of 105966551040 is 40155669501.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×105966551040² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 105966550983 and 105966551001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53328927 + ... + 53330913.

Almost surely, 2^105966551040 is an apocalyptic number.

105966551040 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 105966551040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200112525312).

105966551040 is an abundant number, since it is smaller than the sum of its proper divisors (294258499584).

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

105966551040 is an equidigital number, since it uses as much as digits as its factorization.

105966551040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2061 (or 2035 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 42.

The spelling of 105966551040 in words is "one hundred five billion, nine hundred sixty-six million, five hundred fifty-one thousand, forty".