101403264900 has 144 divisors (see below), whose sum is σ = 335404532736. Its totient is φ = 23171134080.

The previous prime is 101403264847. The next prime is 101403264923. The reversal of 101403264900 is 9462304101.

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

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 47 ways as a sum of consecutive naturals, for example, 12442627 + ... + 12450773.

It is an arithmetic number, because the mean of its divisors is an integer number (2329198144).

Almost surely, 2^101403264900 is an apocalyptic number.

101403264900 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 101403264900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167702266368).

101403264900 is an abundant number, since it is smaller than the sum of its proper divisors (234001267836).

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

101403264900 is a wasteful number, since it uses less digits than its factorization.

101403264900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14098 (or 14091 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The spelling of 101403264900 in words is "one hundred one billion, four hundred three million, two hundred sixty-four thousand, nine hundred".