101303400 has 96 divisors (see below), whose sum is σ = 342612000. Its totient is φ = 24556800.

The previous prime is 101303393. The next prime is 101303407. The reversal of 101303400 is 4303101.

It is an interprime number because it is at equal distance from previous prime (101303393) and next prime (101303407).

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

It is not an unprimeable number, because it can be changed into a prime (101303407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1075 + ... + 14274.

It is an arithmetic number, because the mean of its divisors is an integer number (3568875).

Almost surely, 2^101303400 is an apocalyptic number.

101303400 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 101303400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171306000).

101303400 is an abundant number, since it is smaller than the sum of its proper divisors (241308600).

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

101303400 is a wasteful number, since it uses less digits than its factorization.

101303400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15379 (or 15370 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 101303400 is about 10064.9590163100. The cubic root of 101303400 is about 466.1668003643.

Adding to 101303400 its reverse (4303101), we get a palindrome (105606501).

It can be divided in two parts, 10130 and 3400, that added together give a triangular number (13530 = T₁₆₄).

The spelling of 101303400 in words is "one hundred one million, three hundred three thousand, four hundred".