101384736 has 192 divisors, whose sum is σ = 306125568. Its totient is φ = 29196288.

The previous prime is 101384711. The next prime is 101384737. The reversal of 101384736 is 637483101.

It is a junction number, because it is equal to n+sod(n) for n = 101384697 and 101384706.

It is not an unprimeable number, because it can be changed into a prime (101384737) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1388796 + ... + 1388868.

It is an arithmetic number, because the mean of its divisors is an integer number (1594404).

Almost surely, 2^101384736 is an apocalyptic number.

101384736 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 101384736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153062784).

101384736 is an abundant number, since it is smaller than the sum of its proper divisors (204740832).

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

101384736 is a wasteful number, since it uses less digits than its factorization.

101384736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 101384736 is about 10068.9987585658. The cubic root of 101384736 is about 466.2915279971.

The spelling of 101384736 in words is "one hundred one million, three hundred eighty-four thousand, seven hundred thirty-six".