101146416 has 80 divisors (see below), whose sum is σ = 303147264. Its totient is φ = 28461312.

The previous prime is 101146411. The next prime is 101146471. The reversal of 101146416 is 614641101.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (101146411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20266 + ... + 24758.

Almost surely, 2^101146416 is an apocalyptic number.

101146416 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 101146416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151573632).

101146416 is an abundant number, since it is smaller than the sum of its proper divisors (202000848).

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

101146416 is a wasteful number, since it uses less digits than its factorization.

101146416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4578 (or 4572 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 101146416 is about 10057.1574512881. The cubic root of 101146416 is about 465.9258786615.

Adding to 101146416 its reverse (614641101), we get a palindrome (715787517).

The spelling of 101146416 in words is "one hundred one million, one hundred forty-six thousand, four hundred sixteen".