101142040 has 32 divisors (see below), whose sum is σ = 237466080. Its totient is φ = 38697472.

The previous prime is 101142037. The next prime is 101142043. The reversal of 101142040 is 40241101.

It is an interprime number because it is at equal distance from previous prime (101142037) and next prime (101142043).

It is a self number, because there is not a number n which added to its sum of digits gives 101142040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101142043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54049 + ... + 55888.

It is an arithmetic number, because the mean of its divisors is an integer number (7420815).

Almost surely, 2^101142040 is an apocalyptic number.

101142040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101142040 is an abundant number, since it is smaller than the sum of its proper divisors (136324040).

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

101142040 is a wasteful number, since it uses less digits than its factorization.

101142040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109971 (or 109967 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 101142040 is about 10056.9398924325. The cubic root of 101142040 is about 465.9191592899.

Adding to 101142040 its reverse (40241101), we get a palindrome (141383141).

The spelling of 101142040 in words is "one hundred one million, one hundred forty-two thousand, forty".