101771040 has 144 divisors (see below), whose sum is σ = 373004352. Its totient is φ = 23256576.

The previous prime is 101771029. The next prime is 101771099. The reversal of 101771040 is 40177101.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 101770998 and 101771016.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21357 + ... + 25683.

It is an arithmetic number, because the mean of its divisors is an integer number (2590308).

Almost surely, 2^101771040 is an apocalyptic number.

101771040 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 101771040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186502176).

101771040 is an abundant number, since it is smaller than the sum of its proper divisors (271233312).

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

101771040 is a wasteful number, since it uses less digits than its factorization.

101771040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4359 (or 4344 counting only the distinct ones).

The product of its (nonzero) digits is 196, while the sum is 21.

The square root of 101771040 is about 10088.1633610881. The cubic root of 101771040 is about 466.8830107996.

The spelling of 101771040 in words is "one hundred one million, seven hundred seventy-one thousand, forty".