100738474200 has 1536 divisors, whose sum is σ = 467970048000. Its totient is φ = 19309363200.

The previous prime is 100738474147. The next prime is 100738474201. The reversal of 100738474200 is 2474837001.

It is a happy number.

100738474200 is a `hidden beast` number, since 1 + 0 + 0 + 7 + 384 + 74 + 200 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100738474201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 258967606 + ... + 258967994.

It is an arithmetic number, because the mean of its divisors is an integer number (304668000).

Almost surely, 2^100738474200 is an apocalyptic number.

100738474200 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 100738474200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233985024000).

100738474200 is an abundant number, since it is smaller than the sum of its proper divisors (367231573800).

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

100738474200 is a wasteful number, since it uses less digits than its factorization.

100738474200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 100738474200 in words is "one hundred billion, seven hundred thirty-eight million, four hundred seventy-four thousand, two hundred".