101050040 has 256 divisors, whose sum is σ = 313528320. Its totient is φ = 28385280.

The previous prime is 101050039. The next prime is 101050069. The reversal of 101050040 is 40050101.

It is a super-2 number, since 2×101050040² = 20422221168003200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1423205 + ... + 1423275.

It is an arithmetic number, because the mean of its divisors is an integer number (1224720).

Almost surely, 2^101050040 is an apocalyptic number.

101050040 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 101050040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156764160).

101050040 is an abundant number, since it is smaller than the sum of its proper divisors (212478280).

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

101050040 is a wasteful number, since it uses less digits than its factorization.

101050040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 11.

The square root of 101050040 is about 10052.3648958840. The cubic root of 101050040 is about 465.7778479027. Note that the first 3 decimals are identical.

The spelling of 101050040 in words is "one hundred one million, fifty thousand, forty".