101835772743 has 32 divisors (see below), whose sum is σ = 140464622592. Its totient is φ = 65587536000.

The previous prime is 101835772729. The next prime is 101835772807. The reversal of 101835772743 is 347277538101.

It is not a de Polignac number, because 101835772743 - 2⁵ = 101835772711 is a prime.

It is a super-2 number, since 2×101835772743² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a junction number, because it is equal to n+sod(n) for n = 101835772692 and 101835772701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101835772723) 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, 16158693 + ... + 16164993.

It is an arithmetic number, because the mean of its divisors is an integer number (4389519456).

Almost surely, 2^101835772743 is an apocalyptic number.

101835772743 is a deficient number, since it is larger than the sum of its proper divisors (38628849849).

101835772743 is a wasteful number, since it uses less digits than its factorization.

101835772743 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7815.

The product of its (nonzero) digits is 987840, while the sum is 48.

The spelling of 101835772743 in words is "one hundred one billion, eight hundred thirty-five million, seven hundred seventy-two thousand, seven hundred forty-three".