101035400 has 48 divisors (see below), whose sum is σ = 235699200. Its totient is φ = 40278080.

The previous prime is 101035399. The next prime is 101035409. The reversal of 101035400 is 4530101.

It is not an unprimeable number, because it can be changed into a prime (101035409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 75941 + ... + 77259.

It is an arithmetic number, because the mean of its divisors is an integer number (4910400).

Almost surely, 2^101035400 is an apocalyptic number.

101035400 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 101035400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117849600).

101035400 is an abundant number, since it is smaller than the sum of its proper divisors (134663800).

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

101035400 is a wasteful number, since it uses less digits than its factorization.

101035400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1718 (or 1709 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 101035400 is about 10051.6366826502. The cubic root of 101035400 is about 465.7553530509.

Adding to 101035400 its reverse (4530101), we get a palindrome (105565501).

The spelling of 101035400 in words is "one hundred one million, thirty-five thousand, four hundred".