101835804720 has 160 divisors (see below), whose sum is σ = 340790688000. Its totient is φ = 25007127552.

The previous prime is 101835804691. The next prime is 101835804757. The reversal of 101835804720 is 27408538101.

It is a super-2 number, since 2×101835804720² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1268331 + ... + 1346229.

It is an arithmetic number, because the mean of its divisors is an integer number (2129941800).

Almost surely, 2^101835804720 is an apocalyptic number.

101835804720 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 101835804720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170395344000).

101835804720 is an abundant number, since it is smaller than the sum of its proper divisors (238954883280).

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

101835804720 is a wasteful number, since it uses less digits than its factorization.

101835804720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78347 (or 78341 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 39.

The spelling of 101835804720 in words is "one hundred one billion, eight hundred thirty-five million, eight hundred four thousand, seven hundred twenty".