101025152 has 48 divisors (see below), whose sum is σ = 213874620. Its totient is φ = 47523840.

The previous prime is 101025139. The next prime is 101025161. The reversal of 101025152 is 251520101.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 101025152.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 35627 + ... + 38357.

Almost surely, 2^101025152 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 101025152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106937310).

101025152 is an abundant number, since it is smaller than the sum of its proper divisors (112849468).

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

101025152 is an equidigital number, since it uses as much as digits as its factorization.

101025152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2779 (or 2750 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 17.

The square root of 101025152 is about 10051.1269019946. The cubic root of 101025152 is about 465.7396053617.

Adding to 101025152 its reverse (251520101), we get a palindrome (352545253).

It can be divided in two parts, 1010 and 25152, that added together give a palindrome (26162).

The spelling of 101025152 in words is "one hundred one million, twenty-five thousand, one hundred fifty-two".