100073743 has 16 divisors (see below), whose sum is σ = 127814400. Its totient is φ = 76075200.

The previous prime is 100073689. The next prime is 100073761. The reversal of 100073743 is 347370001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 100073743 - 2⁹ = 100073231 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100073773) 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, 12693 + ... + 19006.

It is an arithmetic number, because the mean of its divisors is an integer number (7988400).

Almost surely, 2^100073743 is an apocalyptic number.

100073743 is a deficient number, since it is larger than the sum of its proper divisors (27740657).

100073743 is a wasteful number, since it uses less digits than its factorization.

100073743 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31758.

The product of its (nonzero) digits is 1764, while the sum is 25.

The square root of 100073743 is about 10003.6864704968. The cubic root of 100073743 is about 464.2729502222.

The spelling of 100073743 in words is "one hundred million, seventy-three thousand, seven hundred forty-three".