101645152 has 48 divisors (see below), whose sum is σ = 229824000. Its totient is φ = 43348608.

The previous prime is 101645083. The next prime is 101645153. The reversal of 101645152 is 251546101.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101645153) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49849 + ... + 51847.

It is an arithmetic number, because the mean of its divisors is an integer number (4788000).

Almost surely, 2^101645152 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 101645152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114912000).

101645152 is an abundant number, since it is smaller than the sum of its proper divisors (128178848).

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

101645152 is a wasteful number, since it uses less digits than its factorization.

101645152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2243 (or 2235 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 25.

The square root of 101645152 is about 10081.9220389765. The cubic root of 101645152 is about 466.6904241873.

The spelling of 101645152 in words is "one hundred one million, six hundred forty-five thousand, one hundred fifty-two".