101142993 has 16 divisors (see below), whose sum is σ = 154275840. Its totient is φ = 57738576.

The previous prime is 101142991. The next prime is 101142997. The reversal of 101142993 is 399241101.

It is not a de Polignac number, because 101142993 - 2¹ = 101142991 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 101142993.

It is not an unprimeable number, because it can be changed into a prime (101142991) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28546 + ... + 31892.

It is an arithmetic number, because the mean of its divisors is an integer number (9642240).

Almost surely, 2^101142993 is an apocalyptic number.

It is an amenable number.

101142993 is a deficient number, since it is larger than the sum of its proper divisors (53132847).

101142993 is a wasteful number, since it uses less digits than its factorization.

101142993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4796.

The product of its (nonzero) digits is 1944, while the sum is 30.

The square root of 101142993 is about 10056.9872725384. The cubic root of 101142993 is about 465.9206226431.

The spelling of 101142993 in words is "one hundred one million, one hundred forty-two thousand, nine hundred ninety-three".