101036100 has 144 divisors (see below), whose sum is σ = 337853376. Its totient is φ = 23040000.

The previous prime is 101036077. The next prime is 101036113. The reversal of 101036100 is 1630101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55200 + ... + 57000.

It is an arithmetic number, because the mean of its divisors is an integer number (2346204).

Almost surely, 2^101036100 is an apocalyptic number.

101036100 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 101036100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168926688).

101036100 is an abundant number, since it is smaller than the sum of its proper divisors (236817276).

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

101036100 is a wasteful number, since it uses less digits than its factorization.

101036100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1846 (or 1839 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 101036100 is about 10051.6715027900. The cubic root of 101036100 is about 465.7564286739.

Adding to 101036100 its reverse (1630101), we get a palindrome (102666201).

The spelling of 101036100 in words is "one hundred one million, thirty-six thousand, one hundred".