101005800483600 has 180 divisors, whose sum is σ = 350945135655972. Its totient is φ = 26902071936000.

The previous prime is 101005800483589. The next prime is 101005800483607. The reversal of 101005800483600 is 6384008500101.

101005800483600 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 0 + 5 + 8 + 0 + 0 + 48 + 3 + 600 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 975638209536 + 100030162274064 = 987744^2 + 10001508^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (101005800483607) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14131591 + ... + 20042790.

Almost surely, 2^{101005800483600} is an apocalyptic number.

101005800483600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101005800483600 is an abundant number, since it is smaller than the sum of its proper divisors (249939335172372).

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

101005800483600 is a wasteful number, since it uses less digits than its factorization.

101005800483600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34175226 (or 34175212 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

Adding to 101005800483600 its reverse (6384008500101), we get a palindrome (107389808983701).

The spelling of 101005800483600 in words is "one hundred one trillion, five billion, eight hundred million, four hundred eighty-three thousand, six hundred".