101341628964 has 81 divisors (see below), whose sum is σ = 272211506931. Its totient is φ = 31783265280.

The previous prime is 101341628957. The next prime is 101341629001. The reversal of 101341628964 is 469826143101.

The square root of 101341628964 is 318342.

It is a perfect power (a square), and thus also a powerful number.

101341628964 is a `hidden beast` number, since 1 + 0 + 13 + 4 + 1 + 628 + 9 + 6 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 20349022500 + 80992606464 = 142650^2 + 284592^2 .

It is a super-2 number, since 2×101341628964² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 32469324 + ... + 32472444.

Almost surely, 2^101341628964 is an apocalyptic number.

101341628964 is the 318342-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101341628964

101341628964 is an abundant number, since it is smaller than the sum of its proper divisors (170869877967).

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

101341628964 is an equidigital number, since it uses as much as digits as its factorization.

101341628964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6286 (or 3143 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 101341628964 in words is "one hundred one billion, three hundred forty-one million, six hundred twenty-eight thousand, nine hundred sixty-four".