100065192240 has 160 divisors (see below), whose sum is σ = 337508773056. Its totient is φ = 24377425920.

The previous prime is 100065192233. The next prime is 100065192251. The reversal of 100065192240 is 42291560001.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 100065192198 and 100065192207.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 137320 + ... + 467960.

Almost surely, 2^100065192240 is an apocalyptic number.

100065192240 is a gapful number since it is divisible by the number (10) 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 100065192240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168754386528).

100065192240 is an abundant number, since it is smaller than the sum of its proper divisors (237443580816).

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

100065192240 is a wasteful number, since it uses less digits than its factorization.

100065192240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330767 (or 330761 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The spelling of 100065192240 in words is "one hundred billion, sixty-five million, one hundred ninety-two thousand, two hundred forty".