101787840 has 672 divisors, whose sum is σ = 479291904. Its totient is φ = 19906560.

The previous prime is 101787839. The next prime is 101787863. The reversal of 101787840 is 48787101.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a junction number, because it is equal to n+sod(n) for n = 101787795 and 101787804.

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, 5987512 + ... + 5987528.

It is an arithmetic number, because the mean of its divisors is an integer number (713232).

Almost surely, 2^101787840 is an apocalyptic number.

101787840 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 101787840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239645952).

101787840 is an abundant number, since it is smaller than the sum of its proper divisors (377504064).

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

101787840 is a wasteful number, since it uses less digits than its factorization.

101787840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 36.

The square root of 101787840 is about 10088.9959857262. The cubic root of 101787840 is about 466.9086998464.

The spelling of 101787840 in words is "one hundred one million, seven hundred eighty-seven thousand, eight hundred forty".