101861867520 has 1440 divisors, whose sum is σ = 453423979008. Its totient is φ = 21403533312.

The previous prime is 101861867479. The next prime is 101861867533. The reversal of 101861867520 is 25768168101.

101861867520 is a `hidden beast` number, since 1 + 0 + 1 + 8 + 61 + 8 + 67 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2368880619 + ... + 2368880661.

Almost surely, 2^101861867520 is an apocalyptic number.

101861867520 is a gapful number since it is divisible by the number (10) 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 101861867520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226711989504).

101861867520 is an abundant number, since it is smaller than the sum of its proper divisors (351562111488).

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

101861867520 is an frugal number, since it uses more digits than its factorization.

101861867520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 101861867520 in words is "one hundred one billion, eight hundred sixty-one million, eight hundred sixty-seven thousand, five hundred twenty".