101003863464 has 384 divisors, whose sum is σ = 341597260800. Its totient is φ = 27538237440.

The previous prime is 101003863463. The next prime is 101003863483. The reversal of 101003863464 is 464368300101.

It is a happy number.

101003863464 is a `hidden beast` number, since 1 + 0 + 10 + 0 + 3 + 8 + 634 + 6 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (101003863463) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23949484 + ... + 23953700.

It is an arithmetic number, because the mean of its divisors is an integer number (889576200).

Almost surely, 2^101003863464 is an apocalyptic number.

101003863464 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 101003863464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170798630400).

101003863464 is an abundant number, since it is smaller than the sum of its proper divisors (240593397336).

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

101003863464 is a wasteful number, since it uses less digits than its factorization.

101003863464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4350 (or 4333 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 101003863464 in words is "one hundred one billion, three million, eight hundred sixty-three thousand, four hundred sixty-four".