101406040 has 128 divisors (see below), whose sum is σ = 256608000. Its totient is φ = 35900928.

The previous prime is 101406023. The next prime is 101406043. The reversal of 101406040 is 40604101.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101406043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 947667 + ... + 947773.

It is an arithmetic number, because the mean of its divisors is an integer number (2004750).

Almost surely, 2^101406040 is an apocalyptic number.

101406040 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 101406040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128304000).

101406040 is an abundant number, since it is smaller than the sum of its proper divisors (155201960).

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

101406040 is a wasteful number, since it uses less digits than its factorization.

101406040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 101406040 is about 10070.0566036145. The cubic root of 101406040 is about 466.3241863616.

The spelling of 101406040 in words is "one hundred one million, four hundred six thousand, forty".