101414016 has 192 divisors, whose sum is σ = 326514240. Its totient is φ = 29952000.

The previous prime is 101413981. The next prime is 101414029. The reversal of 101414016 is 610414101.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a self number, because there is not a number n which added to its sum of digits gives 101414016.

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, 671541 + ... + 671691.

It is an arithmetic number, because the mean of its divisors is an integer number (1700595).

Almost surely, 2^101414016 is an apocalyptic number.

101414016 is a gapful number since it is divisible by the number (16) 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 101414016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163257120).

101414016 is an abundant number, since it is smaller than the sum of its proper divisors (225100224).

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

101414016 is a wasteful number, since it uses less digits than its factorization.

101414016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 101414016 is about 10070.4526214068. The cubic root of 101414016 is about 466.3364121429.

Adding to 101414016 its reverse (610414101), we get a palindrome (711828117).

The spelling of 101414016 in words is "one hundred one million, four hundred fourteen thousand, sixteen".