101609952 has 96 divisors (see below), whose sum is σ = 294803712. Its totient is φ = 30480384.

The previous prime is 101609951. The next prime is 101609953. The reversal of 101609952 is 259906101.

It is an interprime number because it is at equal distance from previous prime (101609951) and next prime (101609953).

It is a tau number, because it is divible by the number of its divisors (96).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101609951) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36183 + ... + 38889.

It is an arithmetic number, because the mean of its divisors is an integer number (3070872).

Almost surely, 2^101609952 is an apocalyptic number.

101609952 is a gapful number since it is divisible by the number (12) 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 101609952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147401856).

101609952 is an abundant number, since it is smaller than the sum of its proper divisors (193193760).

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

101609952 is a wasteful number, since it uses less digits than its factorization.

101609952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2760 (or 2752 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 33.

The square root of 101609952 is about 10080.1761889364. The cubic root of 101609952 is about 466.6365459017.

The spelling of 101609952 in words is "one hundred one million, six hundred nine thousand, nine hundred fifty-two".