101648736 has 168 divisors, whose sum is σ = 345887640. Its totient is φ = 29042496.

The previous prime is 101648671. The next prime is 101648759. The reversal of 101648736 is 637846101.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

101648736 is a `hidden beast` number, since 1 + 0 + 1 + 648 + 7 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 101648736.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 14521245 + ... + 14521251.

It is an arithmetic number, because the mean of its divisors is an integer number (2058855).

Almost surely, 2^101648736 is an apocalyptic number.

101648736 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 101648736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172943820).

101648736 is an abundant number, since it is smaller than the sum of its proper divisors (244238904).

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

101648736 is an frugal number, since it uses more digits than its factorization.

101648736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 101648736 is about 10082.0997812956. The cubic root of 101648736 is about 466.6959092787.

The spelling of 101648736 in words is "one hundred one million, six hundred forty-eight thousand, seven hundred thirty-six".