101039400 has 432 divisors, whose sum is σ = 439302240. Its totient is φ = 20995200.

The previous prime is 101039377. The next prime is 101039413. The reversal of 101039400 is 4930101.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 9185395 + ... + 9185405.

Almost surely, 2^101039400 is an apocalyptic number.

101039400 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 101039400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219651120).

101039400 is an abundant number, since it is smaller than the sum of its proper divisors (338262840).

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

101039400 is an equidigital number, since it uses as much as digits as its factorization.

101039400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 101039400 is about 10051.8356532526. The cubic root of 101039400 is about 465.7614994010.

Adding to 101039400 its reverse (4930101), we get a palindrome (105969501).

It can be divided in two parts, 10103 and 9400, that added together give a triangular number (19503 = T₁₉₇).

The spelling of 101039400 in words is "one hundred one million, thirty-nine thousand, four hundred".