100745950284 has 576 divisors, whose sum is σ = 342529474560. Its totient is φ = 25219434240.

The previous prime is 100745950267. The next prime is 100745950297. The reversal of 100745950284 is 482059547001.

100745950284 is a `hidden beast` number, since 10 + 0 + 7 + 4 + 59 + 502 + 84 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 92173242 + ... + 92174334.

Almost surely, 2^100745950284 is an apocalyptic number.

100745950284 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 100745950284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171264737280).

100745950284 is an abundant number, since it is smaller than the sum of its proper divisors (241783524276).

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

100745950284 is a wasteful number, since it uses less digits than its factorization.

100745950284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1192 (or 1178 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 100745950284 in words is "one hundred billion, seven hundred forty-five million, nine hundred fifty thousand, two hundred eighty-four".