101128104 has 384 divisors, whose sum is σ = 384134400. Its totient is φ = 23224320.

The previous prime is 101128103. The next prime is 101128123. The reversal of 101128104 is 401821101.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101128103) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2733174 + ... + 2733210.

It is an arithmetic number, because the mean of its divisors is an integer number (1000350).

Almost surely, 2^101128104 is an apocalyptic number.

101128104 is a gapful number since it is divisible by the number (14) 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 101128104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192067200).

101128104 is an abundant number, since it is smaller than the sum of its proper divisors (283006296).

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

101128104 is a wasteful number, since it uses less digits than its factorization.

101128104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The square root of 101128104 is about 10056.2470136726. The cubic root of 101128104 is about 465.8977591954.

Adding to 101128104 its reverse (401821101), we get a palindrome (502949205).

The spelling of 101128104 in words is "one hundred one million, one hundred twenty-eight thousand, one hundred four".