101460096 has 96 divisors (see below), whose sum is σ = 302129100. Its totient is φ = 32643072.

The previous prime is 101460077. The next prime is 101460109. The reversal of 101460096 is 690064101.

It can be written as a sum of positive squares in 2 ways, for example, as 97298496 + 4161600 = 9864^2 + 2040^2 .

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

It is a super-3 number, since 3×101460096³ (a number of 25 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31890 + ... + 34926.

Almost surely, 2^101460096 is an apocalyptic number.

101460096 is a gapful number since it is divisible by the number (16) 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 101460096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151064550).

101460096 is an abundant number, since it is smaller than the sum of its proper divisors (200669004).

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

101460096 is a wasteful number, since it uses less digits than its factorization.

101460096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3086 (or 3071 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 101460096 is about 10072.7402428535. The cubic root of 101460096 is about 466.4070319937.

The spelling of 101460096 in words is "one hundred one million, four hundred sixty thousand, ninety-six".