19105138400 has 72 divisors (see below), whose sum is σ = 49095217080. Its totient is φ = 7239836160.

The previous prime is 19105138399. The next prime is 19105138411. The reversal of 19105138400 is 483150191.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 613259 + ... + 643658.

It is an arithmetic number, because the mean of its divisors is an integer number (681878015).

Almost surely, 2^19105138400 is an apocalyptic number.

19105138400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

19105138400 is an abundant number, since it is smaller than the sum of its proper divisors (29990078680).

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

19105138400 is a wasteful number, since it uses less digits than its factorization.

19105138400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1256956 (or 1256943 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 32.

Adding to 19105138400 its reverse (483150191), we get a palindrome (19588288591).

The spelling of 19105138400 in words is "nineteen billion, one hundred five million, one hundred thirty-eight thousand, four hundred".