100701216 has 288 divisors, whose sum is σ = 377395200. Its totient is φ = 24675840.

The previous prime is 100701173. The next prime is 100701233. The reversal of 100701216 is 612107001.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 421225 + ... + 421463.

It is an arithmetic number, because the mean of its divisors is an integer number (1310400).

Almost surely, 2^100701216 is an apocalyptic number.

100701216 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 100701216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188697600).

100701216 is an abundant number, since it is smaller than the sum of its proper divisors (276693984).

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

100701216 is a wasteful number, since it uses less digits than its factorization.

100701216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 100701216 is about 10034.9995515695. Note that the first 3 decimals coincide. The cubic root of 100701216 is about 465.2412761047.

Adding to 100701216 its reverse (612107001), we get a palindrome (712808217).

The spelling of 100701216 in words is "one hundred million, seven hundred one thousand, two hundred sixteen".