100010460000 has 240 divisors, whose sum is σ = 357879791808. Its totient is φ = 24244800000.

The previous prime is 100010459963. The next prime is 100010460071. The reversal of 100010460000 is 64010001.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×100010460000³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 584235 + ... + 735765.

Almost surely, 2^100010460000 is an apocalyptic number.

100010460000 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 100010460000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178939895904).

100010460000 is an abundant number, since it is smaller than the sum of its proper divisors (257869331808).

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

100010460000 is a wasteful number, since it uses less digits than its factorization.

100010460000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151575 (or 151552 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 100010460000 its reverse (64010001), we get a palindrome (100074470001).

The spelling of 100010460000 in words is "one hundred billion, ten million, four hundred sixty thousand".