10354197100 has 144 divisors (see below), whose sum is σ = 24649165408. Its totient is φ = 3752386560.

The previous prime is 10354197053. The next prime is 10354197101. The reversal of 10354197100 is 179145301.

It is a super-3 number, since 3×10354197100³ (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (10354197101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19797439 + ... + 19797961.

Almost surely, 2^10354197100 is an apocalyptic number.

10354197100 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 10354197100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12324582704).

10354197100 is an abundant number, since it is smaller than the sum of its proper divisors (14294968308).

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

10354197100 is a wasteful number, since it uses less digits than its factorization.

10354197100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 31.

The spelling of 10354197100 in words is "ten billion, three hundred fifty-four million, one hundred ninety-seven thousand, one hundred".