101145844800 has 1344 divisors, whose sum is σ = 495268300800. Its totient is φ = 19392307200.

The previous prime is 101145844799. The next prime is 101145844883. The reversal of 101145844800 is 8448541101.

101145844800 is a `hidden beast` number, since 10 + 114 + 58 + 4 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 43242031 + ... + 43244369.

It is an arithmetic number, because the mean of its divisors is an integer number (368503200).

Almost surely, 2^101145844800 is an apocalyptic number.

101145844800 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 101145844800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247634150400).

101145844800 is an abundant number, since it is smaller than the sum of its proper divisors (394122456000).

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

101145844800 is a wasteful number, since it uses less digits than its factorization.

101145844800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2401 (or 2380 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The spelling of 101145844800 in words is "one hundred one billion, one hundred forty-five million, eight hundred forty-four thousand, eight hundred".