101583843900 has 864 divisors, whose sum is σ = 396979591680. Its totient is φ = 19570636800.

The previous prime is 101583843887. The next prime is 101583843917. The reversal of 101583843900 is 9348385101.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 255878502 + ... + 255878898.

It is an arithmetic number, because the mean of its divisors is an integer number (459467120).

Almost surely, 2^101583843900 is an apocalyptic number.

101583843900 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 101583843900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198489795840).

101583843900 is an abundant number, since it is smaller than the sum of its proper divisors (295395747780).

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

101583843900 is a wasteful number, since it uses less digits than its factorization.

101583843900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The spelling of 101583843900 in words is "one hundred one billion, five hundred eighty-three million, eight hundred forty-three thousand, nine hundred".