109061429400 has 1920 divisors, whose sum is σ = 517241894400. Its totient is φ = 20603289600.

The previous prime is 109061429381. The next prime is 109061429447. The reversal of 109061429400 is 4924160901.

It is a happy number.

109061429400 is a `hidden beast` number, since 10 + 9 + 0 + 614 + 29 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 784614531 + ... + 784614669.

It is an arithmetic number, because the mean of its divisors is an integer number (269396820).

Almost surely, 2^109061429400 is an apocalyptic number.

109061429400 is a gapful number since it is divisible by the number (10) 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 109061429400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258620947200).

109061429400 is an abundant number, since it is smaller than the sum of its proper divisors (408180465000).

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

109061429400 is a wasteful number, since it uses less digits than its factorization.

109061429400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 109061429400 in words is "one hundred nine billion, sixty-one million, four hundred twenty-nine thousand, four hundred".