101530687104 has 576 divisors, whose sum is σ = 377528748480. Its totient is φ = 25443532800.

The previous prime is 101530687091. The next prime is 101530687129. The reversal of 101530687104 is 401786035101.

101530687104 is a `hidden beast` number, since 10 + 1 + 530 + 6 + 8 + 7 + 104 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 74599384 + ... + 74600744.

It is an arithmetic number, because the mean of its divisors is an integer number (655431855).

Almost surely, 2^101530687104 is an apocalyptic number.

101530687104 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 101530687104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188764374240).

101530687104 is an abundant number, since it is smaller than the sum of its proper divisors (275998061376).

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

101530687104 is a wasteful number, since it uses less digits than its factorization.

101530687104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1457 (or 1413 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 101530687104 in words is "one hundred one billion, five hundred thirty million, six hundred eighty-seven thousand, one hundred four".