101104920900 has 135 divisors (see below), whose sum is σ = 327835003111. Its totient is φ = 26953680960.

The previous prime is 101104920881. The next prime is 101104920911. The reversal of 101104920900 is 9029401101.

The square root of 101104920900 is 317970.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 4090114116 + 97014806784 = 63954^2 + 311472^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 28615534 + ... + 28619066.

Almost surely, 2^101104920900 is an apocalyptic number.

101104920900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101104920900 is the 317970-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101104920900

101104920900 is an abundant number, since it is smaller than the sum of its proper divisors (226730082211).

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

101104920900 is an frugal number, since it uses more digits than its factorization.

101104920900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7092 (or 3543 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The spelling of 101104920900 in words is "one hundred one billion, one hundred four million, nine hundred twenty thousand, nine hundred".