109541263104 has 864 divisors, whose sum is σ = 418214369664. Its totient is φ = 26754416640.

The previous prime is 109541263033. The next prime is 109541263109. The reversal of 109541263104 is 401362145901.

It is a happy number.

109541263104 is a `hidden beast` number, since 1 + 0 + 9 + 5 + 4 + 12 + 631 + 0 + 4 = 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 (109541263109) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 260192814 + ... + 260193234.

Almost surely, 2^109541263104 is an apocalyptic number.

109541263104 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 109541263104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209107184832).

109541263104 is an abundant number, since it is smaller than the sum of its proper divisors (308673106560).

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

109541263104 is a wasteful number, since it uses less digits than its factorization.

109541263104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 109541263104 in words is "one hundred nine billion, five hundred forty-one million, two hundred sixty-three thousand, one hundred four".