10505153400 has 384 divisors, whose sum is σ = 41127367680. Its totient is φ = 2161336320.

The previous prime is 10505153381. The next prime is 10505153411. The reversal of 10505153400 is 435150501.

It is a super-2 number, since 2×10505153400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1639002 + ... + 1645398.

It is an arithmetic number, because the mean of its divisors is an integer number (107102520).

Almost surely, 2^10505153400 is an apocalyptic number.

10505153400 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 10505153400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20563683840).

10505153400 is an abundant number, since it is smaller than the sum of its proper divisors (30622214280).

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

10505153400 is a wasteful number, since it uses less digits than its factorization.

10505153400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6463 (or 6454 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 24.

The spelling of 10505153400 in words is "ten billion, five hundred five million, one hundred fifty-three thousand, four hundred".