101963787634943 has 64 divisors (see below), whose sum is σ = 125515997107200. Its totient is φ = 81803446179840.

The previous prime is 101963787634903. The next prime is 101963787634967. The reversal of 101963787634943 is 349436787369101.

It is a Cunningham number, because it is equal to 10097712²-1.

It is not a de Polignac number, because 101963787634943 - 2⁶ = 101963787634879 is a prime.

It is a super-2 number, since 2×101963787634943² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101963787634903) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2231571728 + ... + 2231617418.

It is an arithmetic number, because the mean of its divisors is an integer number (1961187454800).

Almost surely, 2^{101963787634943} is an apocalyptic number.

101963787634943 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

101963787634943 is a deficient number, since it is larger than the sum of its proper divisors (23552209472257).

101963787634943 is a wasteful number, since it uses less digits than its factorization.

101963787634943 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60912.

The product of its (nonzero) digits is 493807104, while the sum is 71.

The spelling of 101963787634943 in words is "one hundred one trillion, nine hundred sixty-three billion, seven hundred eighty-seven million, six hundred thirty-four thousand, nine hundred forty-three".