101488416 has 96 divisors (see below), whose sum is σ = 276369408. Its totient is φ = 32590080.

The previous prime is 101488403. The next prime is 101488427. The reversal of 101488416 is 614884101.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 374361 + ... + 374631.

It is an arithmetic number, because the mean of its divisors is an integer number (2878848).

Almost surely, 2^101488416 is an apocalyptic number.

101488416 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 101488416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138184704).

101488416 is an abundant number, since it is smaller than the sum of its proper divisors (174880992).

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

101488416 is a wasteful number, since it uses less digits than its factorization.

101488416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 33.

The square root of 101488416 is about 10074.1459191338. The cubic root of 101488416 is about 466.4504231688.

The spelling of 101488416 in words is "one hundred one million, four hundred eighty-eight thousand, four hundred sixteen".