100046245950 has 288 divisors, whose sum is σ = 319779532800. Its totient is φ = 21940450560.

The previous prime is 100046245933. The next prime is 100046245997. The reversal of 100046245950 is 59542640001.

100046245950 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 4 + 62 + 4 + 595 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 14886691 + ... + 14893409.

It is an arithmetic number, because the mean of its divisors is an integer number (1110345600).

Almost surely, 2^100046245950 is an apocalyptic number.

100046245950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100046245950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159889766400).

100046245950 is an abundant number, since it is smaller than the sum of its proper divisors (219733286850).

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

100046245950 is a wasteful number, since it uses less digits than its factorization.

100046245950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6936 (or 6928 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

Adding to 100046245950 its reverse (59542640001), we get a palindrome (159588885951).

The spelling of 100046245950 in words is "one hundred billion, forty-six million, two hundred forty-five thousand, nine hundred fifty".