99429120 has 360 divisors, whose sum is σ = 409568544. Its totient is φ = 22560768.

The previous prime is 99429097. The next prime is 99429133. The reversal of 99429120 is 2192499.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×99429120² = 19772299807948800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 725692 + ... + 725828.

Almost surely, 2^99429120 is an apocalyptic number.

99429120 is a gapful number since it is divisible by the number (90) 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 99429120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204784272).

99429120 is an abundant number, since it is smaller than the sum of its proper divisors (310139424).

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

99429120 is a wasteful number, since it uses less digits than its factorization.

99429120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 99429120 is about 9971.4151453041. The cubic root of 99429120 is about 463.2739338077.

Adding to 99429120 its product of nonzero digits (11664), we get a square (99440784 = 9972²).

The spelling of 99429120 in words is "ninety-nine million, four hundred twenty-nine thousand, one hundred twenty".