101764810434 has 96 divisors (see below), whose sum is σ = 245017434816. Its totient is φ = 28073485440.

The previous prime is 101764810393. The next prime is 101764810463. The reversal of 101764810434 is 434018467101.

It is a junction number, because it is equal to n+sod(n) for n = 101764810392 and 101764810401.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1389312 + ... + 1460724.

It is an arithmetic number, because the mean of its divisors is an integer number (2552264946).

Almost surely, 2^101764810434 is an apocalyptic number.

101764810434 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101764810434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122508717408).

101764810434 is an abundant number, since it is smaller than the sum of its proper divisors (143252624382).

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

101764810434 is a wasteful number, since it uses less digits than its factorization.

101764810434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71600 (or 71593 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The spelling of 101764810434 in words is "one hundred one billion, seven hundred sixty-four million, eight hundred ten thousand, four hundred thirty-four".