101150016 has 112 divisors (see below), whose sum is σ = 298460160. Its totient is φ = 29969920.

The previous prime is 101150009. The next prime is 101150033. The reversal of 101150016 is 610051101.

It is a junction number, because it is equal to n+sod(n) for n = 101149977 and 101150004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98755 + ... + 99773.

Almost surely, 2^101150016 is an apocalyptic number.

101150016 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 101150016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149230080).

101150016 is an abundant number, since it is smaller than the sum of its proper divisors (197310144).

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

101150016 is a wasteful number, since it uses less digits than its factorization.

101150016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1092 (or 1082 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 15.

The square root of 101150016 is about 10057.3364267086. The cubic root of 101150016 is about 465.9314063355.

The spelling of 101150016 in words is "one hundred one million, one hundred fifty thousand, sixteen".