101403648 has 66 divisors (see below), whose sum is σ = 292827444. Its totient is φ = 33798144.

The previous prime is 101403647. The next prime is 101403649. The reversal of 101403648 is 846304101.

101403648 is a `hidden beast` number, since 1 + 0 + 14 + 0 + 3 + 648 = 666.

It is an interprime number because it is at equal distance from previous prime (101403647) and next prime (101403649).

It is not an unprimeable number, because it can be changed into a prime (101403641) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3715 + ... + 14717.

Almost surely, 2^101403648 is an apocalyptic number.

101403648 is a gapful number since it is divisible by the number (18) 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 101403648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146413722).

101403648 is an abundant number, since it is smaller than the sum of its proper divisors (191423796).

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

101403648 is a wasteful number, since it uses less digits than its factorization.

101403648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11029 (or 11008 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 101403648 is about 10069.9378349620. The cubic root of 101403648 is about 466.3205197285.

Adding to 101403648 its reverse (846304101), we get a palindrome (947707749).

The spelling of 101403648 in words is "one hundred one million, four hundred three thousand, six hundred forty-eight".