101851537788 has 864 divisors, whose sum is σ = 376451712000. Its totient is φ = 22756930560.

The previous prime is 101851537729. The next prime is 101851537819. The reversal of 101851537788 is 887735158101.

101851537788 is a `hidden beast` number, since 1 + 0 + 18 + 515 + 37 + 7 + 88 = 666.

101851537788 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 378630118 + ... + 378630386.

It is an arithmetic number, because the mean of its divisors is an integer number (435708000).

Almost surely, 2^101851537788 is an apocalyptic number.

101851537788 is a gapful number since it is divisible by the number (18) 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 101851537788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188225856000).

101851537788 is an abundant number, since it is smaller than the sum of its proper divisors (274600174212).

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

101851537788 is a wasteful number, since it uses less digits than its factorization.

101851537788 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 1881600, while the sum is 54.

The spelling of 101851537788 in words is "one hundred one billion, eight hundred fifty-one million, five hundred thirty-seven thousand, seven hundred eighty-eight".