101396064 has 288 divisors, whose sum is σ = 353928960. Its totient is φ = 24837120.

The previous prime is 101396059. The next prime is 101396077. The reversal of 101396064 is 460693101.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 2358027 + ... + 2358069.

It is an arithmetic number, because the mean of its divisors is an integer number (1228920).

Almost surely, 2^101396064 is an apocalyptic number.

101396064 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 101396064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176964480).

101396064 is an abundant number, since it is smaller than the sum of its proper divisors (252532896).

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

101396064 is a wasteful number, since it uses less digits than its factorization.

101396064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 101396064 is about 10069.5612615446. The cubic root of 101396064 is about 466.3088940357.

The spelling of 101396064 in words is "one hundred one million, three hundred ninety-six thousand, sixty-four".