103772987136 has 1080 divisors, whose sum is σ = 398133467760. Its totient is φ = 26629005312.

The previous prime is 103772987119. The next prime is 103772987141. The reversal of 103772987136 is 631789277301.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2804675310 + ... + 2804675346.

Almost surely, 2^103772987136 is an apocalyptic number.

103772987136 is a gapful number since it is divisible by the number (16) 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 103772987136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199066733880).

103772987136 is an abundant number, since it is smaller than the sum of its proper divisors (294360480624).

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

103772987136 is an frugal number, since it uses more digits than its factorization.

103772987136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 2667168, while the sum is 54.

The spelling of 103772987136 in words is "one hundred three billion, seven hundred seventy-two million, nine hundred eighty-seven thousand, one hundred thirty-six".