101506464 has 72 divisors (see below), whose sum is σ = 294840000. Its totient is φ = 33111168.

The previous prime is 101506459. The next prime is 101506469. The reversal of 101506464 is 464605101.

101506464 is a `hidden beast` number, since 1 + 0 + 15 + 0 + 646 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (101506459) and next prime (101506469).

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (101506469) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9787 + ... + 17285.

It is an arithmetic number, because the mean of its divisors is an integer number (4095000).

Almost surely, 2^101506464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101506464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147420000).

101506464 is an abundant number, since it is smaller than the sum of its proper divisors (193333536).

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

101506464 is a wasteful number, since it uses less digits than its factorization.

101506464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7562 (or 7551 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 101506464 is about 10075.0416376311. The cubic root of 101506464 is about 466.4780716387.

The spelling of 101506464 in words is "one hundred one million, five hundred six thousand, four hundred sixty-four".