101838464 has 96 divisors (see below), whose sum is σ = 254362500. Its totient is φ = 40255488.

The previous prime is 101838419. The next prime is 101838497. The reversal of 101838464 is 464838101.

It can be written as a sum of positive squares in 2 ways, for example, as 96040000 + 5798464 = 9800^2 + 2408^2 .

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 11 ways as a sum of consecutive naturals, for example, 80912 + ... + 82160.

Almost surely, 2^101838464 is an apocalyptic number.

101838464 is a gapful number since it is divisible by the number (14) 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 101838464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127181250).

101838464 is an abundant number, since it is smaller than the sum of its proper divisors (152524036).

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

101838464 is a wasteful number, since it uses less digits than its factorization.

101838464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1290 (or 1271 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

The square root of 101838464 is about 10091.5045459039. The cubic root of 101838464 is about 466.9860924195.

The spelling of 101838464 in words is "one hundred one million, eight hundred thirty-eight thousand, four hundred sixty-four".