101351328 has 72 divisors (see below), whose sum is σ = 288132768. Its totient is φ = 31180032.

The previous prime is 101351309. The next prime is 101351347. The reversal of 101351328 is 823153101.

It is an interprime number because it is at equal distance from previous prime (101351309) and next prime (101351347).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 101351298 and 101351307.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13101 + ... + 19347.

It is an arithmetic number, because the mean of its divisors is an integer number (4001844).

Almost surely, 2^101351328 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 101351328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144066384).

101351328 is an abundant number, since it is smaller than the sum of its proper divisors (186781440).

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

101351328 is a wasteful number, since it uses less digits than its factorization.

101351328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6286 (or 6265 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 101351328 is about 10067.3396684526. The cubic root of 101351328 is about 466.2403053662.

The spelling of 101351328 in words is "one hundred one million, three hundred fifty-one thousand, three hundred twenty-eight".