101414300 has 72 divisors (see below), whose sum is σ = 238859712. Its totient is φ = 37152000.

The previous prime is 101414273. The next prime is 101414311. The reversal of 101414300 is 3414101.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 235085 + ... + 235515.

It is an arithmetic number, because the mean of its divisors is an integer number (3317496).

Almost surely, 2^101414300 is an apocalyptic number.

101414300 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 101414300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119429856).

101414300 is an abundant number, since it is smaller than the sum of its proper divisors (137445412).

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

101414300 is a wasteful number, since it uses less digits than its factorization.

101414300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 639 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 101414300 is about 10070.4667220541. The cubic root of 101414300 is about 466.3368474523.

Adding to 101414300 its reverse (3414101), we get a palindrome (104828401).

It can be divided in two parts, 10141 and 4300, that added together give a palindrome (14441).

The spelling of 101414300 in words is "one hundred one million, four hundred fourteen thousand, three hundred".