101064630144 has 32 divisors (see below), whose sum is σ = 268452924840. Its totient is φ = 33688209920.

The previous prime is 101064630109. The next prime is 101064630151. The reversal of 101064630144 is 441036460101.

101064630144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×101064630144² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 131594187 + ... + 131594954.

Almost surely, 2^101064630144 is an apocalyptic number.

It is an amenable number.

101064630144 is an abundant number, since it is smaller than the sum of its proper divisors (167388294696).

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

101064630144 is an equidigital number, since it uses as much as digits as its factorization.

101064630144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263189158 (or 263189146 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The spelling of 101064630144 in words is "one hundred one billion, sixty-four million, six hundred thirty thousand, one hundred forty-four".