101703942144 has 1020 divisors, whose sum is σ = 390526568784. Its totient is φ = 26159874048.

The previous prime is 101703942107. The next prime is 101703942149. The reversal of 101703942144 is 441249307101.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 101703942099 and 101703942108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101703942149) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4421910517 + ... + 4421910539.

Almost surely, 2^101703942144 is an apocalyptic number.

101703942144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101703942144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195263284392).

101703942144 is an abundant number, since it is smaller than the sum of its proper divisors (288822626640).

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

101703942144 is an frugal number, since it uses more digits than its factorization.

101703942144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 101703942144 in words is "one hundred one billion, seven hundred three million, nine hundred forty-two thousand, one hundred forty-four".