101025828 has 36 divisors (see below), whose sum is σ = 256000108. Its totient is φ = 33592320.

The previous prime is 101025817. The next prime is 101025839. The reversal of 101025828 is 828520101.

It is an interprime number because it is at equal distance from previous prime (101025817) and next prime (101025839).

It can be written as a sum of positive squares in 2 ways, for example, as 56430144 + 44595684 = 7512^2 + 6678^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12348 + ... + 18828.

Almost surely, 2^101025828 is an apocalyptic number.

101025828 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

101025828 is an abundant number, since it is smaller than the sum of its proper divisors (154974280).

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

101025828 is a wasteful number, since it uses less digits than its factorization.

101025828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6924 (or 6919 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 101025828 is about 10051.1605300085. The cubic root of 101025828 is about 465.7406441765.

Adding to 101025828 its reverse (828520101), we get a palindrome (929545929).

The spelling of 101025828 in words is "one hundred one million, twenty-five thousand, eight hundred twenty-eight".