101028622464 has 1024 divisors, whose sum is σ = 388624896000. Its totient is φ = 25395793920.

The previous prime is 101028622411. The next prime is 101028622489. The reversal of 101028622464 is 464226820101.

101028622464 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 28 + 622 + 4 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 926868042 + ... + 926868150.

It is an arithmetic number, because the mean of its divisors is an integer number (379516500).

Almost surely, 2^101028622464 is an apocalyptic number.

101028622464 is a gapful number since it is divisible by the number (14) 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 101028622464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194312448000).

101028622464 is an abundant number, since it is smaller than the sum of its proper divisors (287596273536).

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

101028622464 is an equidigital number, since it uses as much as digits as its factorization.

101028622464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

Adding to 101028622464 its sum of digits (36), we get a square (101028622500 = 317850²).

The spelling of 101028622464 in words is "one hundred one billion, twenty-eight million, six hundred twenty-two thousand, four hundred sixty-four".