105083456000 has 80 divisors (see below), whose sum is σ = 262032324840. Its totient is φ = 42033356800.

The previous prime is 105083455973. The next prime is 105083456003. The reversal of 105083456000 is 654380501.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 44693342464 + 60390113536 = 211408^2 + 245744^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×105083456000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (105083456003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 756965 + ... + 884964.

Almost surely, 2^105083456000 is an apocalyptic number.

105083456000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105083456000 is an abundant number, since it is smaller than the sum of its proper divisors (156948868840).

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

105083456000 is an frugal number, since it uses more digits than its factorization.

105083456000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1641962 (or 1641936 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

The spelling of 105083456000 in words is "one hundred five billion, eighty-three million, four hundred fifty-six thousand".